Physical process first law and caustic avoidance for Rindler horizons

Bhattacharjee, Srijit; Sarkar, Sudipta

doi:10.1103/physrevd.91.024024

Cited by 13 publications

(20 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However once we make the choice of A2 = −4 in order to match with the equilibrium Wald entropy density s HD w , it can be verified that there is no spatial current in this case, but a finite non-equilibrium correction scor to s HD w , see (3.5). 29 Though a mismatch at this stage would have been a serious contradiction with the existing literature and Wald's formalism, we still do not have any abstract proof for it, applicable to any higher derivative theories of gravity. According to our understanding, this would essentially amount to showing a step by step equivalence between the proof of physical version of the first law and the Wald formalism.…”

Section: Jhep06(2020)017mentioning

confidence: 86%

“…More precisely, if we take the expressions of s HD W ald as computed in subsections 3.1.1, section 3.1.2 and section 3.1.3 and simply remove the terms that would vanish in stationary situations (for example, a term like KK would be ignored), the resultant expressions should exactly match with the correspondingB's derived in this subsection with a specific choice of the coefficient A 2 for every case. 29 It turns out that they indeed match provided we choose the coefficient A 2 to be as follows:…”

Section: Jhep06(2020)017mentioning

confidence: 99%

“…This point was noted in [1] and it has been argued that if these 'zero boost terms' are not of the correct form (i.e., two time derivatives acting on some quantity) it would amount to the violation of the first law itself, once viewed in the 'physical version' formulation of it [15,27] (also see [28][29][30][31][32]). Therefore, though the central argument in [1] naively break down for these special 'zero boost terms', it must work out in actual theories, where the physical process version of the first law is valid.…”

Section: Jhep06(2020)017 1 Introduction and Summarymentioning

confidence: 99%

See 2 more Smart Citations

An entropy current for dynamical black holes in four-derivative theories of gravity

Bhattacharya

Bhattacharyya

Dinda

et al. 2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We propose an entropy current for dynamical black holes in a theory with arbitrary four derivative corrections to Einstein's gravity, linearized around a stationary black hole. The Einstein-Gauss-Bonnet theory is a special case of the class of theories that we consider. Within our approximation, our construction allows us to write down a completely local version of the second law of black hole thermodynamics, in the presence of the higher derivative corrections considered here. This ultra-local, stronger form of the second law is a generalization of a weaker form, applicable to the total entropy, integrated over a compact 'time-slice' of the horizon, a proof of which has been recently presented in [1]. We also provide a general algorithm to construct the entropy current for the four derivative theories, which may be straightforwardly generalized to arbitrary higher derivative corrections to Einstein's gravity. This algorithm highlights the possible ambiguities in defining the entropy current.

show abstract

Section: Jhep06(2020)017mentioning

confidence: 86%

Section: Jhep06(2020)017mentioning

confidence: 99%

Section: Jhep06(2020)017 1 Introduction and Summarymentioning

confidence: 99%

See 1 more Smart Citation

An entropy current for dynamical black holes in four-derivative theories of gravity

Bhattacharya

Bhattacharyya

Dinda

et al. 2020

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…However, this should not be a problem since, for stationary black holes, we already know that Wald's construction works. In [14], this trickier set of terms were dealt with by taking recourse to the physical process version of the first law [11,[23][24][25][26][27][28]. It was argued that if the physical process version of the first law is to be valid, then things should work out nicely to reproduce the correct expression for the Wald entropy at equilibrium.…”

Section: Jhep09(2021)169mentioning

confidence: 99%

An entropy current and the second law in higher derivative theories of gravity

Bhattacharyya

Dhivakar

Dinda

et al. 2021

J. High Energ. Phys.

View full text Add to dashboard Cite

We construct a proof of the second law of thermodynamics in an arbitrary diffeomorphism invariant theory of gravity working within the approximation of linearized dynamical fluctuations around stationary black holes. We achieve this by establishing the existence of an entropy current defined on the horizon of the dynamically perturbed black hole in such theories. By construction, this entropy current has non-negative divergence, suggestive of a mechanism for the dynamical black hole to approach a final equilibrium configuration via entropy production as well as the spatial flow of it on the null horizon. This enables us to argue for the second law in its strongest possible form, which has a manifest locality at each space-time point. We explicitly check that the form of the entropy current that we construct in this paper exactly matches with previously reported expressions computed considering specific four derivative theories of higher curvature gravity. Using the same set up we also provide an alternative proof of the physical process version of the first law applicable to arbitrary higher derivative theories of gravity.

show abstract

“…In the case of black holes, the approach taken to study entropy evolution is to perturb an initial stationary black hole and find the evolution of an entropy functional along a perturbed event horizon, in the spirit of the physical process version of the first law [10][11][12][13][14]. Interestingly, even in this case, viscous effects do not play a role at linear orders in perturbation.…”

Section: Introductionmentioning

confidence: 99%

Black hole entropy production and transport coefficients in Lovelock gravity

Fairoos¹,

Ghosh²,

Sarkar³

2018

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We study the entropy evolution of black holes in Lovelock gravity by formulating a thermodynamic generalization of null Raychaudhuri equation. We show that the similarity between the expressions of entropy change of the black hole horizon due to perturbation and that of a fluid, which is out of equilibrium, transcends beyond general relativity to the Lovelock class of theories. Exploiting this analogy we find that the shear and bulk viscosities for the black holes in Lovelock theories exactly match with those obtained in the membrane paradigm and also from holographic considerations. * fairoos.c@iitgn.ac.in † avirup.ghosh@iitgn.ac.in ‡ sudiptas@iitgn.ac.in

show abstract

Physical process first law and caustic avoidance for Rindler horizons

Cited by 13 publications

References 10 publications

An entropy current for dynamical black holes in four-derivative theories of gravity

An entropy current for dynamical black holes in four-derivative theories of gravity

An entropy current and the second law in higher derivative theories of gravity

Black hole entropy production and transport coefficients in Lovelock gravity

Contact Info

Product

Resources

About