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Uniqueness theorems for static black holes in metric-affine gravity

Eloy Ayón-Beato·Alberto García·Alfredo Macías·Hernando Quevedo
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Abstract

Using the equivalence theorem for the triplet ansatz sector of metric-affine gravity (MAG) theories and the Einstein-Proca system, it is shown that the only static black hole of the triplet sector of MAG is the Schwarzschild solution, under the constraint (-4β_4 + k_1β_5/2k_0 + k_2γ_4/k_0)/κz_4 \neq 0 on the coupling constants. For the special case (-4β_4 + k_1β_5/2k_0 + k_2γ_4/k_0)/κz_4 = 0, it follows that the only static non-extremal black hole is the Reissner-Nordström one. The results can be extended to exclude also the existence of soliton solutions of the triplet sector of MAG.

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Eloy Ayón-Beato, Alberto García, Alfredo Macías, Hernando Quevedo. 1999-11-19. Uniqueness theorems for static black holes in metric-affine gravity. https://doi.org/10.1103/physrevd.61.084017

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