Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes

Omidi, Farzad

doi:10.48550/arxiv.2112.05890

Cited by 6 publications

(8 citation statements)

References 85 publications

(177 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…which is a hypergeometric function of r [117]. However, we do not need the explicit form of r * (r) here.…”

Section: Hyperscaling Violating Black Branementioning

confidence: 99%

See 1 more Smart Citation

Entropy of Hawking radiation for two-sided hyperscaling violating black branes

Omidi

2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

In this paper, we study the von Neumann entropy of Hawking radiation SR 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 CFTd+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 tPage. For the first case, SR grows linearly with time before the Page time and saturates after this time. Moreover, tPage is proportional to $$ \frac{2{S}_{\mathrm{th}}}{cT} $$ 2 S th cT , where Sth and T are the thermal entropy and temperature of the black brane. For the second case, when the hyperscaling violation exponent θm of the matter fields is zero, the results are very similar to those for the first case. However, when θm ≠ 0, the entropy of Hawking radiation grows exponentially before tPage and saturates after this time. Furthermore, the Page time is proportional to log $$ \left(\frac{1}{G_{\mathrm{N},\mathrm{r}}}\right) $$ 1 G N , r , where GN,r is the renormalized Newton’s constant. It was also observed that for both cases, tPage 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, tPage is independent of zm, and for θm ≠ 0, it is a decreasing function of θm.

show abstract

“…which is a hypergeometric function of r [117]. However, we do not need the explicit form of r * (r) here.…”

Section: Hyperscaling Violating Black Branementioning

confidence: 99%

“…The aim of the paper is to explore the generalized volume-complexity for a two-sided Hyperscaling Violating (HV) black brane [116] in d + 2 dimensions. Different aspects of this background have been studied in the literature such as: Page curve [117], Volume-Complexity [22] and Action-Complexity [22,23,75]. Similar to ref.…”

Section: Introductionmentioning

confidence: 99%

Entropy of Hawking radiation for two-sided hyperscaling violating black branes

Omidi

2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…If there are more than one surface then we need to choose the surface with the minimal area among those surfaces. By following this approach Page curves of the Reissner-Nordström black hole, charged dilaton black hole, Schwarzschild black hole and hyperscaling violating black branes were calculated in [1,13,15,16]. Page curve in charged linear dilaton model for nonextremal black hole and the extremal black hole have been studied in [17] 1 .…”

Section: Introductionmentioning

confidence: 99%

Page Curves of Reissner-Nordström Black Hole in HD Gravity

Yadav¹

2022

Preprint

View full text Add to dashboard Cite

We obtain the Page curves of an eternal Reissner-Nordström black hole in the presence of higher derivative terms in four dimensions. We consider the two cases: gravitational action with general O(R 2 ) terms plus Maxwell term and Einstein-Gauss-Bonnet gravity plus Maxwell term. In both the cases entanglement entropy of the Hawking radiation in the absence of island surface is increases linearly with time. After including contribution from the island surface, we find that after the Page time entanglement entropy of the Hawking radiation in both the cases reaches a constant value which is the twice of the Bekenstein-Hawking entropy of the black hole and we obtain the Page curves. Further we find that Page curves appear at later or earlier time when the Gauss-Bonnet coupling increases or decreases. As a consistency check, in the limit of vanishing GB coupling we obtain the Page curve of the Reissner-Nordström black hole obtained in [1].

show abstract

“…If there are more than one surface then we need to choose the surface with the minimal area among those surfaces. By following this approach Page curves of the Reissner-Nordström black hole, charged dilaton black hole, Schwarzschild black hole and hyperscaling violating black branes were calculated in [12][13][14][15]. Page curve in charged linear dilaton model for non-extremal black hole and the extremal black hole have been studied in [16].…”

Section: Introductionmentioning

confidence: 99%

Page curves of Reissner–Nordström black hole in HD gravity

Yadav

2022

Eur. Phys. J. C

View full text Add to dashboard Cite

We obtain the Page curves of an eternal Reissner–Nordström black hole in the presence of higher derivative terms in four dimensions. We consider two cases: gravitational action with general $${\mathcal {O}}(R^2)$$ O ( R 2 ) terms plus Maxwell term and Einstein–Gauss–Bonnet gravity plus Maxwell term. In both the cases entanglement entropy of the Hawking radiation in the absence of island surface is increasing linearly with time. After including contribution from the island surface, we find that after the Page time, entanglement entropy of the Hawking radiation in both the cases reaches a constant value which is the twice of the Bekenstein–Hawking entropy of the black hole and we obtain the Page curves. We find that Page curves appear at later or earlier time when the Gauss–Bonnet coupling increases or decreases. Further, scrambling time of Reissner–Nordström is increasing or decreasing depending upon whether the correction term (coming from $${\mathcal {O}}(R^2)$$ O ( R 2 ) terms in the gravitational action) is increasing or decreasing in the first case whereas scrambling time remains unaffected in the second case (Einstein–Gauss–Bonnet gravity case). As a consistency check, in the limit of vanishing GB coupling we obtain the Page curve of the Reissner–Nordström black hole obtained in Wang et al. (JHEP 04:103, 2021).

show abstract

Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes

Cited by 6 publications

References 85 publications

Entropy of Hawking radiation for two-sided hyperscaling violating black branes

Entropy of Hawking radiation for two-sided hyperscaling violating black branes

Page Curves of Reissner-Nordström Black Hole in HD Gravity

Page curves of Reissner–Nordström black hole in HD gravity

Contact Info

Product

Resources

About