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Reparametrization Symmetry of Local Entropy Production on a Dynamical Horizon

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arxiv 2204.08447 v2 pith:WEMXBSWL submitted 2022-04-18 hep-th gr-qc

Sayantani Bhattacharyya , Pooja Jethwani , Milan Patra , Shuvayu Roy This is my paper · ORCID
classification hep-thgr-qc
keywords entropyspatialcurrentdynamicalhorizonblackdensityderivative
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Recently, it has been shown that for a dynamical black hole in any higher derivative theory of gravity, one could construct a spatial entropy current, characterizing the in/outflow of entropy at every point on the horizon, as long as the dynamics of the amplitude is small enough. However, the construction is very much dependent on how we choose the spatial slicing of the horizon along its null generators. In this note, we have shown that though both the entropy density and the spatial entropy current change non-trivially under a reparametrization of the null generator, the net entropy production, which is given by the `time' derivative of entropy density plus the divergence of the spatial current is invariant. We have explicitly verified this claim for the particular case of dynamical black holes Einstein-Gauss-Bonnet theory.

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Cited by 4 Pith papers

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  1. Gravitational focusing and horizon entropy for higher-spin fields

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    Higher-spin fields introduce indefinite terms into the generalized Raychaudhuri equation on Killing horizons, blocking a focusing theorem and a well-defined Wall entropy unless a proposed focusing condition is imposed.

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  3. Gravitational Effective Field Theories and Black Hole Mechanics

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    In effective field theories of gravity with electromagnetism and scalars, surface gravity and electric potential are constant on black hole horizons up to the accuracy of the EFT, and a modified entropy satisfies the ...

  4. A comparison of two constructions for dynamical corrections to Wald entropy

    hep-th 2026-07 conditional novelty 5.0 of 10

    For small perturbations, the dynamical entropy S_dyn and Wall's entropy S_Wall satisfy S_dyn = (1-v∂_v)S_Wall, and this paper gives a local algorithm that reconstructs S_Wall from S_dyn once a bifurcation-surface cond...

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