Charged BTZ-type solutions in Eddington-inspired Born-Infeld gravity
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2021
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IOP Publishing
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Abstract
We construct an axially symmetric solution of Eddington-inspired Born-Infeld gravity coupled to an electromagnetic field in 2 + 1 dimensions including a (negative) cosmological constant term. This is achieved by using a recently developed mapping procedure that allows to generate solutions in certain families of metric-affine gravity theories starting from a known seed solution of General Relativity, which in the present case corresponds to the electrically charged Banados-Teitelboim-Zanelli (BTZ) solution. We discuss the main features of the new configurations, including the modifications to the ergospheres and horizons, the emergence of wormhole structures, and the consequences for the regularity (or not) of these space-times via geodesic completeness.
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MG is funded by the predoctoral contract 2018-T1/TIC-10431. DRG is funded by the Atraccion de Talento Investigador programme of the Comunidad de Madrid (Spain) No. 2018-T1/TIC-10431, and acknowledges further support from the Ministerio de Ciencia, Innovacion y Universidades (Spain) project No. PID2019-108485GB-I00/AEI/10.13039/501100011033, and the FCT projects No. PTDC/FIS-PAR/31938/2017 and PTDC/FIS-OUT/29048/2017. This work is supported by the Spanish projects FIS2017-84440-C2-1-P and PID2020-116567GB-C21 (MINECO/FEDER, EU) , the project PROMETEO/2020/079 (Generali-tat Valenciana) , and the Edital 006/2018 PRONEX (FAPESQ-PB/CNPQ, Brazil, Grant 0015/2019) . This article is based upon work from COST Action CA18108, supported by COST (European Cooperation in Science and Technology) .