Conformally flat black holes in Poincar\'e gauge theory
Milutin Blagojevi\'c, Branislav Cvetkovi\'c
TL;DR
This paper establishes criteria for conformally flat solutions in 3D Poincaré gauge theory and demonstrates that a known black hole solution from another gravity theory also solves this gauge theory, satisfying thermodynamic laws.
Contribution
It formulates general criteria for conformally flat solutions in 3D Poincaré gauge theory and shows the Oliva-Tempo-Troncoso black hole is an exact vacuum solution within this framework.
Findings
Oliva-Tempo-Troncoso black hole is a vacuum solution of Poincaré gauge theory.
Conserved charges satisfy the first law of black hole thermodynamics.
Boundary terms are verified using the covariant Hamiltonian approach.
Abstract
General criteria for the existence of conformally flat Riemannian solutions in 3D Poincar\'e 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 Poincar\'e 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.
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