Thermodynamic structure of Lanczos-Lovelock field equations from near-horizon symmetries

Kothawala, Dawood; Padmanabhan, T.

doi:10.48550/arxiv.0904.0215

Cited by 23 publications

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“…The first generalization of to In the Lanczos-Lovelock gravity, the relation of the gravitational field equations to thermodynamics has been generalized in Refs. [83][84][85]. In addition, for the Lanczos-Lovelock gravity, the entropy functional approach has been explored in Ref.…”

Section: A Formulationsmentioning

confidence: 99%

Thermodynamic properties of modified gravity theories

Bamba

2016

Int. J. Geom. Methods Mod. Phys.

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We review thermodynamic properties of modified gravity theories such as $F(R)$ gravity and $f(T)$ gravity, where $R$ is the scalar curvature and $T$ is the torsion scalar in teleparallelism. In particular, we explore the equivalence between the equations of motion for modified gravity theories and the Clausius relation in thermodynamics. In addition, thermodynamics of the cosmological apparent horizon is investigated in $f(T)$ gravity. We show both equilibrium and non-equilibrium descriptions of thermodynamics. It is demonstrated that the second law of thermodynamics in the universe can be met when the temperature of the outside of the apparent horizon is equivalent to that of the inside of it.Comment: 27 pages, no figure, version accepted for publication in International Journal of Geometric Methods in Modern Physic

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Section: A Formulationsmentioning

confidence: 99%

Thermodynamic properties of modified gravity theories

Bamba

2016

Int. J. Geom. Methods Mod. Phys.

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“…This is our main result, which forms the basis for thermodynamic interpretation of field equations. For example, for static spacetimes, the above relation (apart from the factor (−η)), can be shown to have the form [10] T…”

Section: Final Results and Discussionmentioning

confidence: 99%

Accelerated Observers, Thermal Entropy, and Spacetime Curvature

Kothawala

2017

Gravity and the Quantum

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Assuming that an accelerated observer with four-velocity u u u R in a curved spacetime attributes the standard Bekenstein-Hawking entropy and Unruh temperature to his "local Rindler horizon", I show that the change in horizon area under parametric displacements of the horizon has a very specific thermodynamic structure. Specifically, it entails information about the time-time component of the Einstein tensor: G G G(u u u R , u u u R ). Demanding that the result holds for all accelerated observers, this actually becomes a statement about the full Einstein tensor, G G G.I also present some perspectives on the free fall with four-velocity u u u ff across the horizon that leads to such a loss of entropy for an accelerated observer. Motivated by results for some simple quantum systems at finite temperature T , we conjecture that at high temperatures, there exists a universal, system-independent curvature correction to partition function and thermal entropy of any freely falling system, characterised by the dimensionless quantity ∆ = R R R(u u u ff , u u u ff ) (hc/kT ) 2 . Gravity and ThermodynamicsIt has been well known for a long time that statistical mechanics in presence of gravitational interactions exhibits several peculiar features [1], deriving mostly from the fact that gravity couples to everything, and operates unshielded with an infinite range. Many of these peculiarities, such as negative specific heat, however, attracted attention only after they were encountered in the context of black holes. Indeed, existence of a horizon magnifies quantum effects in presence of a black hole, re-

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“…(iii) The other projection, i.e. R ab l a k b , on the null surface for Einstein [38][39][40] and Lanczos-Lovelock gravity [41][42][43] theories yields a thermodynamic identity which is analogically similar to the first law of conventional thermodynamics. The original discussion was based on a particular form of metric in the vicinity of a null surface written in GNC.…”

Section: Thermodynamic First Law Of a Generic Null Surface In Scalar-...mentioning

confidence: 90%

Thermodynamic structure of a generic null surface and the zeroth law in scalar-tensor theory

Dey,

Bhattacharya,

Majhi

2021

Preprint

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We show that the equation of motion of scalar-tensor theory, along the likes of GR and its higher order generalization i.e Lanczos-Lovelock gravity, acquires thermodynamic identity when projected on a generic null surface. The relevant projection is given by E ab l a k b , whereab represents the equation motion for gravitational field in presence of external matter, l a is the generator of the null surface and k a is the corresponding auxiliary null vector. Our analysis is done completely in a covariant way. Therefore all the thermodynamic quantities are in covariant form and hence can be used for any specific form of metric adapted to a null surface. We show this both in Einstein and Jordan frames and find that these two frames provide equivalent thermodynamic quantities. This is consistent with the previous findings for a Killing horizon. Also, a concrete proof of the zeroth law in scalar-tensor theory is provided when the null surface is defined by a Killing vector. ContentsC Proof the zeroth law for static spacetimes 28 D Proof of the relation (4.31) 29 E Proof of the relation (4.56) 29

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Thermodynamic structure of Lanczos-Lovelock field equations from near-horizon symmetries

Cited by 23 publications

References 0 publications

Thermodynamic properties of modified gravity theories

Thermodynamic properties of modified gravity theories

Accelerated Observers, Thermal Entropy, and Spacetime Curvature

Thermodynamic structure of a generic null surface and the zeroth law in scalar-tensor theory

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