Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy
In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U....
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Viaggiu, Stefano [verfasserIn] |
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Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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Enthalten in: Physica / A - Amsterdam : North Holland Publ. Co., 1975, (2017) |
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year:2017 |
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| DOI / URN: |
10.1016/j.physa.2017.07.009 |
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| 520 | |a In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U. In particular, we show that expressions for U\sim R^k, k\geq 1, with R the radius of the confining spherical box, can have a semi-classical description, while behaviors with k<1 derive from thermodynamic or quantum fluctuations. There, by taking a suitable physically motivated expression for U(R), we obtain the well known logarithmic corrections to the BH entropy, with the usual behaviors present in the literature of BH entropy. Moreover, a phase transition emerges with a positive specific heat C at Planckian lengths instead of the usual negative oneat non-Planckian scales, in agreement with results present in the literature. Finally, we show that evaporation stops at a radius R of the order of the Planck length. | ||
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10.1016/j.physa.2017.07.009 doi PQ20171228 (DE-627)OLC1996914138 (DE-599)GBVOLC1996914138 (PRQ)a1101-73a36e2cc62916a1bed645f783a6fa1aa49c52a18e1469db9638e593bb8a94870 (KEY)0019361520170000000000000000entropytemperatureandinternalenergyoftrappedgravit DE-627 ger DE-627 rakwb eng 500 DE-600 Viaggiu, Stefano verfasserin aut Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U. In particular, we show that expressions for U\sim R^k, k\geq 1, with R the radius of the confining spherical box, can have a semi-classical description, while behaviors with k<1 derive from thermodynamic or quantum fluctuations. There, by taking a suitable physically motivated expression for U(R), we obtain the well known logarithmic corrections to the BH entropy, with the usual behaviors present in the literature of BH entropy. Moreover, a phase transition emerges with a positive specific heat C at Planckian lengths instead of the usual negative oneat non-Planckian scales, in agreement with results present in the literature. Finally, we show that evaporation stops at a radius R of the order of the Planck length. General Relativity and Quantum Cosmology Theory High Energy Physics Enthalten in Physica / A Amsterdam : North Holland Publ. Co., 1975 (2017) (DE-627)129419559 (DE-600)189951-X (DE-576)014796147 0378-4371 nnns year:2017 http://dx.doi.org/10.1016/j.physa.2017.07.009 Volltext http://arxiv.org/abs/1707.06785 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_59 GBV_ILN_70 AR 2017 |
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10.1016/j.physa.2017.07.009 doi PQ20171228 (DE-627)OLC1996914138 (DE-599)GBVOLC1996914138 (PRQ)a1101-73a36e2cc62916a1bed645f783a6fa1aa49c52a18e1469db9638e593bb8a94870 (KEY)0019361520170000000000000000entropytemperatureandinternalenergyoftrappedgravit DE-627 ger DE-627 rakwb eng 500 DE-600 Viaggiu, Stefano verfasserin aut Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U. In particular, we show that expressions for U\sim R^k, k\geq 1, with R the radius of the confining spherical box, can have a semi-classical description, while behaviors with k<1 derive from thermodynamic or quantum fluctuations. There, by taking a suitable physically motivated expression for U(R), we obtain the well known logarithmic corrections to the BH entropy, with the usual behaviors present in the literature of BH entropy. Moreover, a phase transition emerges with a positive specific heat C at Planckian lengths instead of the usual negative oneat non-Planckian scales, in agreement with results present in the literature. Finally, we show that evaporation stops at a radius R of the order of the Planck length. General Relativity and Quantum Cosmology Theory High Energy Physics Enthalten in Physica / A Amsterdam : North Holland Publ. Co., 1975 (2017) (DE-627)129419559 (DE-600)189951-X (DE-576)014796147 0378-4371 nnns year:2017 http://dx.doi.org/10.1016/j.physa.2017.07.009 Volltext http://arxiv.org/abs/1707.06785 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_59 GBV_ILN_70 AR 2017 |
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10.1016/j.physa.2017.07.009 doi PQ20171228 (DE-627)OLC1996914138 (DE-599)GBVOLC1996914138 (PRQ)a1101-73a36e2cc62916a1bed645f783a6fa1aa49c52a18e1469db9638e593bb8a94870 (KEY)0019361520170000000000000000entropytemperatureandinternalenergyoftrappedgravit DE-627 ger DE-627 rakwb eng 500 DE-600 Viaggiu, Stefano verfasserin aut Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U. In particular, we show that expressions for U\sim R^k, k\geq 1, with R the radius of the confining spherical box, can have a semi-classical description, while behaviors with k<1 derive from thermodynamic or quantum fluctuations. There, by taking a suitable physically motivated expression for U(R), we obtain the well known logarithmic corrections to the BH entropy, with the usual behaviors present in the literature of BH entropy. Moreover, a phase transition emerges with a positive specific heat C at Planckian lengths instead of the usual negative oneat non-Planckian scales, in agreement with results present in the literature. Finally, we show that evaporation stops at a radius R of the order of the Planck length. General Relativity and Quantum Cosmology Theory High Energy Physics Enthalten in Physica / A Amsterdam : North Holland Publ. Co., 1975 (2017) (DE-627)129419559 (DE-600)189951-X (DE-576)014796147 0378-4371 nnns year:2017 http://dx.doi.org/10.1016/j.physa.2017.07.009 Volltext http://arxiv.org/abs/1707.06785 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_59 GBV_ILN_70 AR 2017 |
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10.1016/j.physa.2017.07.009 doi PQ20171228 (DE-627)OLC1996914138 (DE-599)GBVOLC1996914138 (PRQ)a1101-73a36e2cc62916a1bed645f783a6fa1aa49c52a18e1469db9638e593bb8a94870 (KEY)0019361520170000000000000000entropytemperatureandinternalenergyoftrappedgravit DE-627 ger DE-627 rakwb eng 500 DE-600 Viaggiu, Stefano verfasserin aut Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U. In particular, we show that expressions for U\sim R^k, k\geq 1, with R the radius of the confining spherical box, can have a semi-classical description, while behaviors with k<1 derive from thermodynamic or quantum fluctuations. There, by taking a suitable physically motivated expression for U(R), we obtain the well known logarithmic corrections to the BH entropy, with the usual behaviors present in the literature of BH entropy. Moreover, a phase transition emerges with a positive specific heat C at Planckian lengths instead of the usual negative oneat non-Planckian scales, in agreement with results present in the literature. Finally, we show that evaporation stops at a radius R of the order of the Planck length. General Relativity and Quantum Cosmology Theory High Energy Physics Enthalten in Physica / A Amsterdam : North Holland Publ. Co., 1975 (2017) (DE-627)129419559 (DE-600)189951-X (DE-576)014796147 0378-4371 nnns year:2017 http://dx.doi.org/10.1016/j.physa.2017.07.009 Volltext http://arxiv.org/abs/1707.06785 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_59 GBV_ILN_70 AR 2017 |
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Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy |
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In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U. In particular, we show that expressions for U\sim R^k, k\geq 1, with R the radius of the confining spherical box, can have a semi-classical description, while behaviors with k<1 derive from thermodynamic or quantum fluctuations. There, by taking a suitable physically motivated expression for U(R), we obtain the well known logarithmic corrections to the BH entropy, with the usual behaviors present in the literature of BH entropy. Moreover, a phase transition emerges with a positive specific heat C at Planckian lengths instead of the usual negative oneat non-Planckian scales, in agreement with results present in the literature. Finally, we show that evaporation stops at a radius R of the order of the Planck length. |
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In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U. In particular, we show that expressions for U\sim R^k, k\geq 1, with R the radius of the confining spherical box, can have a semi-classical description, while behaviors with k<1 derive from thermodynamic or quantum fluctuations. There, by taking a suitable physically motivated expression for U(R), we obtain the well known logarithmic corrections to the BH entropy, with the usual behaviors present in the literature of BH entropy. Moreover, a phase transition emerges with a positive specific heat C at Planckian lengths instead of the usual negative oneat non-Planckian scales, in agreement with results present in the literature. Finally, we show that evaporation stops at a radius R of the order of the Planck length. |
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In this paper we study the proposal present in \cite{1} concerning the statistical description of trapped gravitons and applied to derive the semi-classical black hole (BH) entropy S_{BH}. We study the possible configurations depending on physically reasonable expressions for the internal energy U. In particular, we show that expressions for U\sim R^k, k\geq 1, with R the radius of the confining spherical box, can have a semi-classical description, while behaviors with k<1 derive from thermodynamic or quantum fluctuations. There, by taking a suitable physically motivated expression for U(R), we obtain the well known logarithmic corrections to the BH entropy, with the usual behaviors present in the literature of BH entropy. Moreover, a phase transition emerges with a positive specific heat C at Planckian lengths instead of the usual negative oneat non-Planckian scales, in agreement with results present in the literature. Finally, we show that evaporation stops at a radius R of the order of the Planck length. |
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