We present, in an explicit form, the metric for all spherically symmetric Schwarzschild-Bach black holes

in Einstein-Weyl theory. In addition to the black hole mass, this complete family of spacetimes involves a

parameter that encodes the value of the Bach tensor on the horizon. When this additional “nonSchwarzschild parameter” is set to zero, the Bach tensor vanishes everywhere, and the “Schwa-Bach”

solution reduces to the standard Schwarzschild metric of general relativity. Compared with previous

studies, which were mainly based on numerical integration of a complicated form of field equations, the

new form of the metric enables us to easily investigate geometrical and physical properties of these black

holes, such as specific tidal effects on test particles, caused by the presence of the Bach tensor, as well as

fundamental thermodynamical quantities.

in Einstein-Weyl theory. In addition to the black hole mass, this complete family of spacetimes involves a

parameter that encodes the value of the Bach tensor on the horizon. When this additional “nonSchwarzschild parameter” is set to zero, the Bach tensor vanishes everywhere, and the “Schwa-Bach”

solution reduces to the standard Schwarzschild metric of general relativity. Compared with previous

studies, which were mainly based on numerical integration of a complicated form of field equations, the

new form of the metric enables us to easily investigate geometrical and physical properties of these black

holes, such as specific tidal effects on test particles, caused by the presence of the Bach tensor, as well as

fundamental thermodynamical quantities.

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

volume: | 98 |

pages: | 021502(R) |

year: | 2018 |