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Einstein gravity with Gauss-Bonnet entropic corrections

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arxiv 1304.1878 v2 pith:QITLQFDK submitted 2013-04-06 gr-qc

Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sergio Zerbini This is my paper
classification gr-qc
keywords blackcosmologicalequationsholesolutionstermareacorrection
verification ladder T0 review T1 audit T2 compute T3 formal
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A toy model of Einstein gravity with a Gauss-Bonnet classically "entropic" term mimicking a quantum correction is considered. The static black hole solution due to Tomozawa is found and generalized with the inclusion of non trivial horizon topology, and its entropy evaluated deriving the first law by equations of motion. As a result the Bekenstein-Hawking area law turns to be corrected by a logarithmic area term. A Misner-Sharp expression for the mass of black hole is found. Within a Friedmann-Lema\^itre-Robertson-Walker (FLRW) cosmological setting, the model is used in order to derive modified Friedmann equations. Such new equations are shown to reproduce the first law with the same formal entropy and quasi local energy of the static case, but here within a FLRW space-time interpreted as a dynamical cosmological black hole. A detailed analysis of cosmological solutions is presented, and it is shown that the presence of the correction term provides regular solutions and interesting phases of acceleration and decelerations, as well as, with negligible matter, exact de Sitter solutions.

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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. On the analogue of Einstein-Gauss-Bonnet theory in 3+1 dimensions

    gr-qc 2025-05 conditional novelty 6.0 of 10

    The trace anomaly effective action reproduces Einstein-Gauss-Bonnet Friedmann equations and perturbation spectra on FRW backgrounds with a specific scalar field solution.

  2. Thermodynamics of FLRW universe in Quadratic Gravity

    gr-qc 2025-07 reject novelty 5.0 of 10

    Quadratic-gravity terms are claimed to shift the thermodynamic phase structure of the FLRW apparent horizon, but the printed critical-radius formula does not follow from the paper's own equation of state.

  3. From Quantum Correlations to Inflationary Tracking Scalar Field Evolution

    gr-qc 2026-08 reject novelty 4.0 of 10

    The author argues, via condensed-matter-style analogies, that the inflationary tracking condition emerges when the correlation length of primordial quantum degrees of freedom scales as a power of the Hubble radius.

  4. Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes

    gr-qc 2025-05 conditional novelty 4.0 of 10

    Massive scalar perturbations of 4D Einstein-Gauss-Bonnet de Sitter black holes are stable and show three quasinormal mode branches, including a non-perturbative de Sitter branch that disappears in the Schwarzschild-de...

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