Conformally flat black holes in Poincaré gauge theory

Abstract

General criteria for the existence of conformally flat Riemannian solutions in 3D Poincaré gauge theory without matter are formulated. Using these criteria, we show that the Oliva-Tempo-Troncoso black hole, a solution of the Bergshoeff-Hohm-Town\-send gravity, is also an exact vacuum solution of the Poincaré gauge theory. The related conserved charges, calculated from the Hamiltonian boundary term, are shown to satisfy the first law of black hole thermodynamics. The form of the boundary term is verified by using the covariant Hamiltonian approach.

LATEX, 17 pages; v2 minor revisions

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Cited by in corpus (13)

• Revisiting the Stability of Quadratic Poincaré Gauge Gravity
• Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
• Conserved Charges in Extended Theories of Gravity
• Asymptotically locally flat spacetimes and dynamical black flowers in three dimensions
• Entropy in Poincaré gauge theory: Hamiltonian approach
• Asymptotically flat black holes in 2+1 dimensions
• Entropy of Reissner-Nordström-like black holes
• Einstein-Cartan-Dirac gravity with $U(1)$ symmetry breaking
• Quasi-local conserved charges in Lorentz-diffeomorphism covariant theory of gravity
• Near horizon OTT black hole asymptotic symmetries and soft hair
• Hairy Black holes in General Minimal Massive Gravity
• Asymptotically flat black holes and gravitational waves in three-dimensional massive gravity
• New effective theories of gravitation and their phenomenological consequences