Exact black holes in quadratic gravity with any cosmological constant
arXiv:1806.09516 · doi:10.1103/PhysRevLett.121.231104
Abstract
We present a new explicit class of black holes in general quadratic gravity with a cosmological constant. These spherically symmetric Schwarzschild-Bach-(anti-)de Sitter geometries (Schwa-Bach-(A)dS), derived under the assumption of constant scalar curvature, form a three-parameter family determined by the black-hole horizon position, the value of Bach invariant on the horizon, and the cosmological constant. Using a conformal to Kundt metric ansatz, the fourth-order field equations simplify to a compact autonomous system. Its solutions are found as power series, enabling us to directly set the Bach parameter and/or cosmological constant equal to zero. To interpret these spacetimes, we analyse the metric functions. In particular, we demonstrate that for a certain range of positive cosmological constant there are both black-hole and cosmological horizons, with a static region between them. The tidal effects on free test particles and basic thermodynamic quantities are also determined.
6 pages, 3 figures: accepted for publication in Physical Review Letters
References in corpus (4)
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