https://doi.org/10.1140/epjc/s10052-021-09441-w
Regular Article - Theoretical Physics
Charged black hole and radiating solutions in entangled relativity
1
Artemis, Université Côte d’Azur, CNRS, Observatoire Côte d’Azur, BP 4229, 06304, Nice Cedex 4, France
2
PPGCosmo, CCE, Universidade Federal do Espírito Santo, CEP 29075-910, Vitória, ES, Brazil
Received:
6
May
2021
Accepted:
10
July
2021
Published online:
21
July
2021
In this manuscript, we show that the external Schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity. Since entangled relativity cannot be defined from vacuum, the demonstrations need to rely on the definition of matter fields. The electromagnetic field being the easiest (and perhaps the only) existing matter field with infinite range to consider, we study the case of a charged black hole – for which the solution of entangled relativity and a dilaton theory agree – as well as the case of a pure radiation – for which the solution of entangled relativity and general relativity seem to agree, despite an apparent ambiguity in the field equations. Based on these results, we argue that the external Schwarzschild metric is an appropriate mathematical idealization of a spherical black hole in entangled relativity. The extension to rotating cases is briefly discussed.
© The Author(s) 2021
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