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, derived under the

assumption of constant scalar curvature, form a three-parameter family determined by the black-hole

horizon position, the value of the 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 analyze the metric functions.

In particular, we demonstrate that for a certain range of positive cosmological constant there are both blackhole and cosmological horizons, with a static region between them. The tidal effects on free test particles

and basic thermodynamic quantities are also determined.

These spherically symmetric Schwarzschild–Bach–(anti-)de Sitter geometries, derived under the

assumption of constant scalar curvature, form a three-parameter family determined by the black-hole

horizon position, the value of the 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 analyze the metric functions.

In particular, we demonstrate that for a certain range of positive cosmological constant there are both blackhole and cosmological horizons, with a static region between them. The tidal effects on free test particles

and basic thermodynamic quantities are also determined.

typ: | article |
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journal: | Phys. Rev. Lett. |

volume: | 121 |

pages: | 231104 |

year: | 2018 |