Entropy in Poincaré gauge theory: Hamiltonian approach

Abstract

The canonical generator $G$ of local symmetries in Poincaré gauge theory is constructed as an integral over a spatial section $\Sigma$ of spacetime. Its regularity (differentiability) on the phase space is ensured by adding a suitable surface term, an integral over the boundary of $\Sigma$ at infinity, which represents the asymptotic canonical charge. For black hole solutions, $\Sigma$ has two boundaries, one at infinity and the other at horizon. It is shown that the canonical charge at horizon defines entropy, whereas the regularity of $G$ implies the first law of black hole thermodynamics.

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• Entropy in general relativity: Kerr-AdS black hole
• Entropy in Poincaré gauge theory: Kerr-AdS solution
• Conservation of energy-momentum of matter as the basis for the gauge theory of gravitation
• Hamiltonian approach to black hole entropy: Kerr-like spacetimes
• Thermodynamic class II Szekeres-Szafron solutions. Singular models
• Thermodynamics of Riemannian Kerr-AdS black holes in Poincaré gauge theory
• Extremal Kerr black hole entropy in Poincaré gauge theory
• Thermodynamics of Kerr-AdS black holes in general Poincaré gauge theory
• Entropy in three-dimensional general relativity: Kerr-AdS black hole
• Entropy of black holes coupled to a scalar field
• Near horizon symmetry of extremal spacelike-stretched black holes
• Near-horizon geometry with torsion: Kerr-AdS black hole
• Entropy of Kerr--Newman--AdS black holes with torsion
• Hamiltonian surface charges in General Parallel Relativity