Clausius Equation for Horizons in $F(R)$ Gravity
Covariant Hamiltonian formulation of $F(R)$ gravity is used to find variation of surface Hamiltonian which leads to formulation of temperature and entropy of a horizon. These thermodynamic quantities are then used to establish an analogy between Einstein equation and Clausius equation. The obtained...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | Covariant Hamiltonian formulation of $F(R)$ gravity is used to find variation
of surface Hamiltonian which leads to formulation of temperature and entropy of
a horizon. These thermodynamic quantities are then used to establish an analogy
between Einstein equation and Clausius equation. The obtained results are
compared to those from classical General Relativity. |
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| DOI: | 10.48550/arxiv.2111.14753 |