Entropy of Hawking radiation for two-sided hyperscaling violating black branes
Abstract In this paper, we study the von Neumann entropy of Hawking radiation S R for a d + 2-dimensional Hyperscaling Violating (HV) black brane which is coupled to two Minkowski spacetimes as the thermal baths. We consider two different situations for the matter fields: first, they are described b...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2022)022 |
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| author | Farzad Omidi |
| author_facet | Farzad Omidi |
| author_sort | Farzad Omidi |
| collection | DOAJ |
| description | Abstract In this paper, we study the von Neumann entropy of Hawking radiation S R for a d + 2-dimensional Hyperscaling Violating (HV) black brane which is coupled to two Minkowski spacetimes as the thermal baths. We consider two different situations for the matter fields: first, they are described by a CFT d+2 whose central charge c is very large. Second, they are described by a d+2 dimensional HV QFT which has a holographic gravitational theory that is a HV geometry at zero temperature. For both cases, we calculate the Page curve of the Hawking radiation as well as the Page time t Page. For the first case, S R grows linearly with time before the Page time and saturates after this time. Moreover, t Page is proportional to 2 S th cT $$ \frac{2{S}_{\mathrm{th}}}{cT} $$ , where S th and T are the thermal entropy and temperature of the black brane. For the second case, when the hyperscaling violation exponent θ m of the matter fields is zero, the results are very similar to those for the first case. However, when θ m ≠ 0, the entropy of Hawking radiation grows exponentially before t Page and saturates after this time. Furthermore, the Page time is proportional to log 1 G N , r $$ \left(\frac{1}{G_{\mathrm{N},\mathrm{r}}}\right) $$ , where G N,r is the renormalized Newton’s constant. It was also observed that for both cases, t Page is a decreasing and an increasing function of the dynamical exponent z and hyperscaling violation exponent θ of the black brane geometry, respectively. Moreover, for the second case, t Page is independent of z m , and for θm ≠ 0, it is a decreasing function of θ m . |
| first_indexed | 2024-04-09T23:14:19Z |
| format | Article |
| id | doaj.art-933b7f587f1647a9936b93ee1bf4c7de |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:19Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-933b7f587f1647a9936b93ee1bf4c7de2023-03-22T10:11:13ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022413110.1007/JHEP04(2022)022Entropy of Hawking radiation for two-sided hyperscaling violating black branesFarzad Omidi0School of Physics, Institute for Research in Fundamental Sciences (IPM)Abstract In this paper, we study the von Neumann entropy of Hawking radiation S R for a d + 2-dimensional Hyperscaling Violating (HV) black brane which is coupled to two Minkowski spacetimes as the thermal baths. We consider two different situations for the matter fields: first, they are described by a CFT d+2 whose central charge c is very large. Second, they are described by a d+2 dimensional HV QFT which has a holographic gravitational theory that is a HV geometry at zero temperature. For both cases, we calculate the Page curve of the Hawking radiation as well as the Page time t Page. For the first case, S R grows linearly with time before the Page time and saturates after this time. Moreover, t Page is proportional to 2 S th cT $$ \frac{2{S}_{\mathrm{th}}}{cT} $$ , where S th and T are the thermal entropy and temperature of the black brane. For the second case, when the hyperscaling violation exponent θ m of the matter fields is zero, the results are very similar to those for the first case. However, when θ m ≠ 0, the entropy of Hawking radiation grows exponentially before t Page and saturates after this time. Furthermore, the Page time is proportional to log 1 G N , r $$ \left(\frac{1}{G_{\mathrm{N},\mathrm{r}}}\right) $$ , where G N,r is the renormalized Newton’s constant. It was also observed that for both cases, t Page is a decreasing and an increasing function of the dynamical exponent z and hyperscaling violation exponent θ of the black brane geometry, respectively. Moreover, for the second case, t Page is independent of z m , and for θm ≠ 0, it is a decreasing function of θ m .https://doi.org/10.1007/JHEP04(2022)022AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Farzad Omidi Entropy of Hawking radiation for two-sided hyperscaling violating black branes Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Entropy of Hawking radiation for two-sided hyperscaling violating black branes |
| title_full | Entropy of Hawking radiation for two-sided hyperscaling violating black branes |
| title_fullStr | Entropy of Hawking radiation for two-sided hyperscaling violating black branes |
| title_full_unstemmed | Entropy of Hawking radiation for two-sided hyperscaling violating black branes |
| title_short | Entropy of Hawking radiation for two-sided hyperscaling violating black branes |
| title_sort | entropy of hawking radiation for two sided hyperscaling violating black branes |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP04(2022)022 |
| work_keys_str_mv | AT farzadomidi entropyofhawkingradiationfortwosidedhyperscalingviolatingblackbranes |