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First and second laws of modified gravity theories on dynamical holographic screens
High Energy Physics - Theory · Submitted 12 Aug 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that field equations of some typical modified gravity theories can be recast as thermodynamic first law on dynamical holographic screens.
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The abstract, sentence by sentence
We show that field equations of some typical modified gravity theories can be recast as thermodynamic first law on dynamical holographic screens. The thermodynamic second law are also presented.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that field equations of some typical modified gravity theories can be recast as thermodynamic first law on dynamical holographic screens. | result 0.69 | 0.93 | 0.84 | asserted 1.00 |
| s1 | The thermodynamic second law are also presented. | result 0.60 | 0.80 | 0.16 | asserted 0.97 |
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The paper
Original abstract
We show that field equations of some typical modified gravity theories can be recast as thermodynamic first law on dynamical holographic screens. The thermodynamic second law are also presented.
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How the literature uses it
2 arXiv papers cite this in 5 sentences
Papers citing it · 4 sentences without a confident label
Builds on it 1 paper
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As a result, in the general non-static case, the `work density' term $3wV$ used by [ref] , are composed of the contributions from volume integrals on `redshift work density', `pressure density' and `gravitational work density'.
Thermodynamics for Kodama observer in general spherically symmetric spacetimes · Vaidya black hole · 0.95
What it cites · 49 sentences without a confident label
Builds on 1 paper
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Since we have obtained the two identities on the slowly varying horizon in an FRW spacetime [ref] , we will finally have both identities of scalar-tensor gravity on general screens (with slowly varying radius).
Dynamical horizon entropy and equilibrium thermodynamics of generalized gravity theories · Two identities of scalar-tensor gravity · 0.95
Compares with 1 paper
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Similar to the monotonicity of Misner-Sharp energy on untrapped spheres [ref] , this second law has the physical interpretation that the entropy contained in an outer (inner) untrapped screen is non-decreasing as the screen is perturbed outwards (inwards) along the spatial or null tangent vector of the screen.
Gravitational Energy in Spherical Symmetry · Second law of modified gravity theories on dynamical holographic screens · 0.91
Cites as background 5 papers
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Moreover, Hayward also proved the monotonicity of Misner-Sharp energy on untrapped spheres [ref] , which states that if the dominant energy condition holds on an untrapped sphere, the Misner-Sharp energy is non-decreasing in any outgoing spatial or null direction.
Gravitational Energy in Spherical Symmetry · Second law of modified gravity theories on dynamical holographic screens · 0.80
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It is known that the entropy of stationary horizon is well defined by Wald entropy [ref] , which is a Noether charge associated with the Killing vector, but it is less understood for the horizon entropy in a dynamical spacetime, where the Killing vector can not be found in general.
Black Hole Entropy is Noether Charge · Thermodynamical parameters on dynamical holographic screens · 0.98
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Moreover, certain timelike screen is also proposed to repeat the local Rindler horizon thermodynamics [ref] .
Gauss-Codazzi thermodynamics on the timelike screen · Introduction · 0.87
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