Hamiltonian approach to black hole entropy: Kerr-like spacetimes

Abstract

Black hole entropy of the Kerr-like family of spacetimes is introduced as the canonical charge on the horizon. Treating these spacetimes in the framework of Poincaré gauge theory either as Riemannian solutions or as solutions with torsion, it is shown that these geometrically different setups lead to the same black hole entropy.

LaTex, 13 pages; v2: section 5 extended; v3 and v4: minor revisions

References in corpus (5)

• The Kerr spacetime: A brief introduction
• Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
• The particle spectrum of parity-violating Poincaré gravitational theory
• Exact Solutions in Poincaré Gauge Gravity Theory
• Entropy in Poincaré gauge theory: Hamiltonian approach

Cited by in corpus (10)

• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity
• Entropy in Poincaré gauge theory: Hamiltonian approach
• Entropy in general relativity: Kerr-AdS black hole
• Conservation of energy-momentum of matter as the basis for the gauge theory of gravitation
• Entropy in Poincaré gauge theory: Kerr-AdS solution
• 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
• Near-horizon geometry with torsion: Kerr-AdS black hole