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Thermodynamic route to Field equations in Lanczos-Lovelock Gravity

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

Spacetimes with horizons show a resemblance to thermodynamic systems and one can associate the notions of temperature and entropy with them. In the case of Einstein-Hilbert gravity, it is possible to interpret Einstein's equations as the thermodynamic identity TdS = dE + PdV for a spherically symmetric spacetime and thus provide a thermodynamic route to understand the dynamics of gravity. We study this approach further and show that the field equations for Lanczos-Lovelock action in a spherically symmetric spacetime can also be expressed as TdS = dE + PdV with S and E being given by expressions previously derived in the literature by other approaches. The Lanczos-Lovelock Lagrangians are of the form L=Q_a^{bcd}R^a_{bcd} with \nabla_b Q^{abcd}=0. In such models, the expansion of Q^{abcd} in terms of the derivatives of the metric tensor determines the structure of the theory and higher order terms can be interpreted quantum corrections to Einstein gravity. Our result indicates a deep connection between the thermodynamics of horizons and the allowed quantum corrections to standard Einstein gravity, and shows that the relation TdS = dE + PdV has a greater domain of validity that Einstein's field equations.

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representative citing papers

Observational constraints on Luciano-Saridakis entropic cosmology

astro-ph.CO · 2026-03-03 · unverdicted · novelty 6.0

First background-level constraints on Luciano-Saridakis entropic cosmology using CC, Pantheon+ with SH0ES, DESI DR2 BAO and compressed Planck data show robust fit, 2sigma exclusion of LambdaCDM, and potential Hubble tension alleviation.

Semi-classical spacetime thermodynamics

hep-th · 2025-09-05 · unverdicted · novelty 5.0

Derives semi-classical gravity from thermodynamics of stretched light cones in 2D dilaton gravity with explicit conformal anomaly backreaction and shows equations of motion follow from dynamical Wald entropy in Brans-Dicke theories.

Black hole chemistry: thermodynamics with Lambda

hep-th · 2016-08-22 · accept · novelty 3.0

Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.

citing papers explorer

Showing 3 of 3 citing papers.

  • Observational constraints on Luciano-Saridakis entropic cosmology astro-ph.CO · 2026-03-03 · unverdicted · none · ref 34 · internal anchor

    First background-level constraints on Luciano-Saridakis entropic cosmology using CC, Pantheon+ with SH0ES, DESI DR2 BAO and compressed Planck data show robust fit, 2sigma exclusion of LambdaCDM, and potential Hubble tension alleviation.

  • Semi-classical spacetime thermodynamics hep-th · 2025-09-05 · unverdicted · none · ref 8 · internal anchor

    Derives semi-classical gravity from thermodynamics of stretched light cones in 2D dilaton gravity with explicit conformal anomaly backreaction and shows equations of motion follow from dynamical Wald entropy in Brans-Dicke theories.

  • Black hole chemistry: thermodynamics with Lambda hep-th · 2016-08-22 · accept · none · ref 131 · internal anchor

    Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.