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Horizon thermodynamics in $f(R)$ theory

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arxiv 1806.09858 v2 pith:4E5YFTDV submitted 2018-06-26 gr-qc astro-ph.COhep-th

Yaoguang Zheng , Rong-Jia Yang This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords blackholehorizonenergyentropyfirsttheoriestheory
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abstract

We investigate whether the new horizon first law proposed recently still work in $f(R)$ theory. We identify the entropy and the energy of black hole as quantities proportional to the corresponding value of integration, supported by the fact that the new horizon first law holds true as a consequence of equations of motion in $f(R)$ theories. The formulas for the entropy and energy of black hole found here are in agreement with the results obtained in literatures. For applications, some nontrivial black hole solutions in $f(R)$ theories have been considered, the entropies and the energies of black holes in these models are firstly computed, which may be useful for future researches.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 3-dimensional charged black holes in $f({Q})$ gravity

    gr-qc 2025-06 conditional novelty 7.0 of 10

    New exact charged black hole solutions in (2+1)D f(Q) gravity with cubic form yield a novel AdS solution without GR counterpart, with multiple horizons, stable thermodynamics, and stable photon orbits.

  2. Late-Time Cosmology and Structure Formation in Quadratic $f(Q)$ Gravity

    physics.gen-ph 2026-06 unverdicted novelty 4.0 of 10

    Quadratic f(Q) gravity adds an H^4 term to the Friedmann equation and introduces a time-dependent G_eff that suppresses linear growth and halo abundance, offering a modified-gravity route to easing the S8 tension.

  3. An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field

    gr-qc 2025-09 reject novelty 4.0 of 10

    A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versu...

  4. Maxwell-$f(Q)$ theory

    gr-qc 2025-01 conditional novelty 4.0 of 10

    A proposed new charged AdS black hole in f(Q) gravity, but the claimed absence of an uncharged limit and the charge-induced cosmological constant conflict with the paper's own formulas.

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