Entropy of black holes coupled to a scalar field

Abstract

The Hamiltonian approach to black hole entropy, recently proposed in the framework of Poincaré gauge theory, is extended by including the scalar matter. The improved approach is used to analyse asymptotic charges and entropy of a typical black hole with scalar hair in two complementary dynamical settings, in GR and in the teleparallel gravity. In both cases, the results confirm the validity of the first law.

arXiv commentLaTeX, 12 pages

References in corpus (16)

• Black Hole Entropy is Noether Charge
• The Thermodynamics of Black Holes
• Exact black hole solution with a minimally coupled scalar field
• de Sitter black hole with a conformally coupled scalar field in four dimensions
• Quasilocal quantities for GR and other gravity theories
• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Electrically charged black hole with scalar hair
• Scalar Charges in Asymptotic AdS Geometries
• Gravitational Energy for GR and Poincare Gauge Theories: a Covariant Hamiltonian Approach
• The Hamiltonian boundary term and quasi-local energy flux
• On Thermodynamics of AdS Black Holes with Scalar Hair
• Strategy to Construct Exact Solutions in Einstein-Scalar Gravities
• Entropy in Poincaré gauge theory: Hamiltonian approach
• Entropy in general relativity: Kerr-AdS black hole
• Entropy in Poincaré gauge theory: Kerr-AdS solution
• Thermodynamics of Riemannian Kerr-AdS black holes in Poincaré gauge theory