Deflection light behaviors by AdS black holes
Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying th...
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| Autor*in: |
Belhaj, A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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| Übergeordnetes Werk: |
Enthalten in: General relativity and gravitation - Springer US, 1970, 54(2022), 1 vom: Jan. |
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volume:54 ; year:2022 ; number:1 ; month:01 |
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10.1007/s10714-021-02884-2 |
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| 520 | |a Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. | ||
| 650 | 4 | |a AdS black holes | |
| 650 | 4 | |a Deflection angle analysis | |
| 650 | 4 | |a Gauss–Bonnet theorem | |
| 650 | 4 | |a Plasma medium | |
| 700 | 1 | |a Belmahi, H. |4 aut | |
| 700 | 1 | |a Benali, M. |4 aut | |
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10.1007/s10714-021-02884-2 doi (DE-627)OLC2077770856 (DE-He213)s10714-021-02884-2-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Belhaj, A. verfasserin aut Deflection light behaviors by AdS black holes 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. AdS black holes Deflection angle analysis Gauss–Bonnet theorem Plasma medium Belmahi, H. aut Benali, M. aut Enthalten in General relativity and gravitation Springer US, 1970 54(2022), 1 vom: Jan. (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:54 year:2022 number:1 month:01 https://doi.org/10.1007/s10714-021-02884-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_2409 AR 54 2022 1 01 |
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10.1007/s10714-021-02884-2 doi (DE-627)OLC2077770856 (DE-He213)s10714-021-02884-2-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Belhaj, A. verfasserin aut Deflection light behaviors by AdS black holes 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. AdS black holes Deflection angle analysis Gauss–Bonnet theorem Plasma medium Belmahi, H. aut Benali, M. aut Enthalten in General relativity and gravitation Springer US, 1970 54(2022), 1 vom: Jan. (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:54 year:2022 number:1 month:01 https://doi.org/10.1007/s10714-021-02884-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_2409 AR 54 2022 1 01 |
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10.1007/s10714-021-02884-2 doi (DE-627)OLC2077770856 (DE-He213)s10714-021-02884-2-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Belhaj, A. verfasserin aut Deflection light behaviors by AdS black holes 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. AdS black holes Deflection angle analysis Gauss–Bonnet theorem Plasma medium Belmahi, H. aut Benali, M. aut Enthalten in General relativity and gravitation Springer US, 1970 54(2022), 1 vom: Jan. (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:54 year:2022 number:1 month:01 https://doi.org/10.1007/s10714-021-02884-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_2409 AR 54 2022 1 01 |
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10.1007/s10714-021-02884-2 doi (DE-627)OLC2077770856 (DE-He213)s10714-021-02884-2-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Belhaj, A. verfasserin aut Deflection light behaviors by AdS black holes 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. AdS black holes Deflection angle analysis Gauss–Bonnet theorem Plasma medium Belmahi, H. aut Benali, M. aut Enthalten in General relativity and gravitation Springer US, 1970 54(2022), 1 vom: Jan. (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:54 year:2022 number:1 month:01 https://doi.org/10.1007/s10714-021-02884-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_2409 AR 54 2022 1 01 |
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10.1007/s10714-021-02884-2 doi (DE-627)OLC2077770856 (DE-He213)s10714-021-02884-2-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Belhaj, A. verfasserin aut Deflection light behaviors by AdS black holes 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. AdS black holes Deflection angle analysis Gauss–Bonnet theorem Plasma medium Belmahi, H. aut Benali, M. aut Enthalten in General relativity and gravitation Springer US, 1970 54(2022), 1 vom: Jan. (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:54 year:2022 number:1 month:01 https://doi.org/10.1007/s10714-021-02884-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_2409 AR 54 2022 1 01 |
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Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
| abstractGer |
Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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Abstract We investigate the behavior of the deflection of light rays by charged and rotating AdS black holes using the Gauss–Bonnet formalism. Taking weak field approximations and certain appropriate limits associated with AdS geometries, we compute and analyze such an optical quantity by varying the involved moduli space parameters. First, we study the charge and the AdS radius effects on the deflection angle of RN-AdS black holes. For small values of the impact parameter b, we find that the charge effect is relevant. Precisely, it decreases the deflection angle, while the AdS background one is not. For large values of b, however, these optical behaviors have been inverted and the deflection angle becomes an increasing function of the charge. In this way, the cosmological constant effect is remarked to be relevant showing linear variations of the deflection angle. Varying the charge, we find a critical impact parameter value $$b_{c}$$ where the charge effect is inverted. For rotating solutions, we show that the spinning parameter still decreases the deflection angle without any changing behavior observed in the charge effect. Evincing of the cosmological constant, we recover known results corresponding to charged and rotating ordinary black hole solutions. Examining the plasma effect, we reveal that the deflection angle keeps the same behavior being a decreasing function in terms of the frequency ratio. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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Deflection light behaviors by AdS black holes |
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Belmahi, H. Benali, M. |
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