2020
DOI: 10.1140/epjc/s10052-020-08591-7
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Multicenter solutions in Eddington-inspired Born–Infeld gravity

Abstract: We find multicenter (Majumdar–Papapetrou type) solutions of Eddington-inspired Born–Infeld gravity coupled to electromagnetic fields governed by a Born–Infeld-like Lagrangian. We construct the general solution for an arbitrary number of centers in equilibrium and then discuss the properties of their one-particle configurations, including the existence of bounces and the regularity (geodesic completeness) of these spacetimes. Our method can be used to construct multicenter solutions in other theories of gravity. Show more

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Cited by 18 publications
(14 citation statements)
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“…These are dubbed as Ricci-based gravities (RBGs), and the main weapon is the so-called mapping method [20]. This method establishes a correspondence between the spaces of solutions of two RBG theories, in particular allowing to generate solutions of a given RBG starting from a seed GR solution, via purely algebraic transformations [21][22][23]. Critical in this procedure is the identification of the matter Lagrangians sourcing the RBG/GR sides of the map, a point that has been systematically implemented for several types of matter fields [24,25].…”
Section: Introductionmentioning
confidence: 99%
“…These are dubbed as Ricci-based gravities (RBGs), and the main weapon is the so-called mapping method [20]. This method establishes a correspondence between the spaces of solutions of two RBG theories, in particular allowing to generate solutions of a given RBG starting from a seed GR solution, via purely algebraic transformations [21][22][23]. Critical in this procedure is the identification of the matter Lagrangians sourcing the RBG/GR sides of the map, a point that has been systematically implemented for several types of matter fields [24,25].…”
Section: Introductionmentioning
confidence: 99%
“…This way, once a seed solution on the GR side is known, one can find the counterpart on the RBG side via purely algebraic transformations. In vacuum, this mapping trivializes and one recovers GR and its solutions, but in the presence of matter sources new exact solutions of these theories have been found in axially symmetric scenarios [42,43] and even in setups without symmetries [44], allowing to explore the phenomenology of metric-affine theories in a much more efficient way [45].…”
Section: Introductionmentioning
confidence: 97%
“…In fact, starting from a known solution of GR with a spherically symmetric, static, massless real scalar field, which represents a naked singularity, it was possible to obtain new exotic compact objects such as wormholes and other configurations with peculiar causal properties within the high density region but almost identical to the standard GR solution in its exterior regions (where the energy density rapidly drops to zero and the dynamics tends to that of GR). New exact rotating solutions [62,63] and even multicenter solutions [64] (without de-fined symmetry) have been constructed using this approach.…”
Section: Introductionmentioning
confidence: 99%

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Font
et al. 2021
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