Born-Infeld gravity and its functional extensions

Odintsov, Sergei D.; Olmo, Gonzalo J.; Rubiera-García, Diego

doi:10.1103/physrevd.90.044003

Cited by 83 publications

(111 citation statements)

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“…This property is not unique of four dimensional models and persists in higher dimensional scenarios [24,38]. We also note that the same models that remove the point-like singularity in black holes, also produce nonsingular cosmologies where the Big Bang singularity is replaced by a cosmic bounce [23,39]. These results might have relevant implications for the weak cosmic censorship conjecture, which establishes that singularities produced in the gravitational collapse should always be hidden behind an event horizon, so as not to be seen by distant observers [40].…”

Section: Discussionmentioning

confidence: 81%

“…Note that in vacuum, T µ ν = 0, one has g µν = h µν and the field equations (3) reduce to those of GR with a cosmological constant and, therefore, the theory is free of ghosts. Let us point out that both the second-order character of the field equations and the absence of ghost is a generic characteristic of the Palatini formulation of modified gravity, which holds for models including Ricci-squared terms [20], in Born-Infeld gravity actions [21,23], and in higherdimensions [24].…”

Section: Introductionmentioning

confidence: 99%

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Wormholes and nonsingular spacetimes in Palatinif(R)gravity

et al. 2016

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We reconsider the problem of f (R) theories of gravity coupled to Born-Infeld theory of electrodynamics formulated in a Palatini approach, where metric and connection are independent fields. By studying electrovacuum configurations in a static and spherically symmetric space-time, we find solutions which reduce to their Reissner-Nordström counterparts at large distances but undergo important non-perturbative modifications close to the center. Our new analysis reveals that the point-like singularity is replaced by a finite-size wormhole structure, which provides a geodesically complete and thus nonsingular space-time, despite the existence of curvature divergences at the wormhole throat. Implications of these results, in particular for the cosmic censorship conjecture, are discussed.

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Section: Discussionmentioning

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Wormholes and nonsingular spacetimes in Palatinif(R)gravity

et al. 2016

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“…Higher dimensional models confirm that the resolution of black hole singularities is a highly non-perturbative phenomenon, the GR solution being an excellent approximation down to the very throat of the wormhole, where the geometry quickly changes to account for this topological structure. We also note that the theories that generate the solution (1) also replace the big bang singularity by a cosmic bounce in a very robust manner [40][41][42].…”

Section: Discussionmentioning

confidence: 99%

Classical resolution of black hole singularities via wormholes

2016

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In certain extensions of General Relativity, wormholes generated by spherically symmetric electric fields can resolve black hole singularities without necessarily removing curvature divergences. This is shown by studying geodesic completeness, the behavior of time-like congruences going through the divergent region, and by means of scattering of waves off the wormhole. This provides an example of the logical independence between curvature divergences and spacetime singularities, concepts very often identified with each other in the literature.

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“…The next-order derivative hence becomes 46) which still remains finite at a = a min . We can then conclude that all the derivatives of H are regular at a min if α = −n/(n+ 1) with n being a positive integer.…”

Section: The Physical Metric G μνmentioning

confidence: 99%

“…[44,45] (see also Ref. [46]). A drawback of this theory is that it shares some pathologies with Palatini f(R) gravity such as curvature singularities at the surface of polytropic stars [47] (see also [48]).…”

Section: Introductionmentioning

confidence: 99%

Eddington–Born–Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures

Bouhmadi-López

Chen

2015

Eur. Phys. J. C

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The Eddington-inspired-Born-Infeld scenario (EiBI) can prevent the big bang singularity for a matter content whose equation of state is constant and positive. In a recent paper [Bouhmadi-Lopez et al. (Eur. Phys. J. C 74:2802, 2014] we showed that, on the contrary, it is impossible to smooth a big rip in the EiBI setup. In fact the situations are still different for other singularities. In this paper we show that a big freeze singularity in GR can in some cases be smoothed to a sudden or a type IV singularity under the EiBI scenario. Similarly, a sudden or a type IV singularity in GR can be replaced in some regions of the parameter space by a type IV singularity or a loitering behaviour, respectively, in the EiBI framework. Furthermore, we find that the auxiliary metric related to the physical connection usually has a smoother behaviour than that based on the physical metric. In addition, we show that bound structures close to a big rip or a little rip will be destroyed before the advent of the singularity and will remain bound close to a sudden, big freeze or type IV singularity. We then constrain the model following a cosmographic approach, which is well known to be model independent, for a given Friedmann-Lemaître-RobertsonWalker geometry. It turns out that among the various past or present singularities, the cosmographic analysis can pick up the physical region that determines the occurrence of a type IV singularity or a loitering effect in the past. Moreover, to determine which of the future singularities or doomsdays is a

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Born-Infeld gravity and its functional extensions

Cited by 83 publications

References 85 publications

Wormholes and nonsingular spacetimes in Palatinif(R)gravity

Wormholes and nonsingular spacetimes in Palatinif(R)gravity

Classical resolution of black hole singularities via wormholes

Eddington–Born–Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures

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