Classical resolution of black hole singularities via wormholes

Olmo, Gonzalo J.; Rubiera-García, Diego; Sánchez-Puente, Antonio

doi:10.1140/epjc/s10052-016-3999-7

Cited by 59 publications

(79 citation statements)

References 40 publications

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“…Together with the results obtained in other theories of gravity including higher-order corrections in the curvature invariants [32], it seems that the singularity avoidance is a generic and robust feature of Palatini gravities, resulting from the emergence of a topological wormhole structure close to the center of the black hole. This property is not unique of four dimensional models and persists in higher dimensional scenarios [24,38].…”

Section: Discussionsupporting

confidence: 68%

“…This equation is similar to that describing the motion of a particle in a Newtonian potential V (x), and is analogous to that found in scenarios including Ricci-squared corrections to the gravitational Lagrangian [32]. However, in the case considered here, the fact that f R → 0 as x ≃ 0 restricts that interpretation to regions with large |x|.…”

Section: Geodesic Completenesssupporting

confidence: 69%

“…It is worth noting that in other scenarios geodesic completeness can be achieved even if time-like and null geodesics effectively go through regions with curvature divergences. This is the case, for instance, of Palatini theories with more general curvature dependencies [32] and also of wormholes in GR under the standard thin-shell approximation [25]. In these cases, one might be concerned with the impact of curvature divergences on physical observers [34], as studied in [35][36][37], but that is an aspect that does not affect the model presented here.…”

Section: Geodesic Completenessmentioning

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: Discussionsupporting

confidence: 68%

Section: Geodesic Completenesssupporting

confidence: 69%

Section: Geodesic Completenessmentioning

confidence: 99%

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Wormholes and nonsingular spacetimes in Palatinif(R)gravity

et al. 2016

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“…Equipped with this result we can finally obtain the modified Friedman equation that generalises (12) to the case of a general perfect fluid:…”

Section: The Role Of C 2 Smentioning

confidence: 99%

“…The Hubble expansion rate takes the same form as in (12), but now M 0 and M 1 are the solutions of (52) and the components of the deformation matrix relate to those of the fundamental matrixM by…”

mentioning

confidence: 99%

On gravitational waves in Born-Infeld inspired non-singular cosmologies

Jiménez

Heisenberg

Olmo

et al. 2017

J. Cosmol. Astropart. Phys.

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We study the evolution of gravitational waves for non-singular cosmological solutions within the framework of Born-Infeld inspired gravity theories, with special emphasis on the Eddington-inspired Born-Infeld theory. We review the existence of two types of non-singular cosmologies, namely bouncing and asymptotically Minkowski solutions, from a perspective that makes their features more apparent. We study in detail the propagation of gravitational waves near these non-singular solutions and carefully discuss the origin and severity of the instabilities and strong coupling problems that appear. We also investigate the role of the adiabatic sound speed of the matter sector in the regularisation of the gravitational waves evolution. We extend our analysis to more general BornInfeld inspired theories where analogous solutions are found. As a general conclusion, we obtain that the bouncing solutions are generally more prone to instabilities, while the asymptotically Minkowski solutions can be rendered stable, making them appealing models for the early universe.

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Nonsingular Black Holes in Palatini Extensions of General Relativity

Olmo¹

2016

Theoretical Frontiers in Black Holes and Cosmology

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An introduction to extended theories of gravity formulated in metric-affine (or Palatini) spaces is presented. Focusing on spherically symmetric configurations with electric fields, we will see that in these theories the central singularity present in General Relativity is generically replaced by a wormhole structure. The resulting space-time becomes geodesically complete and, therefore, can be regarded as nonsingular. We illustrate these properties considering two different models, namely, a quadratic f (R) theory and a Born-Infeld like gravity theory.

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Classical resolution of black hole singularities via wormholes

Cited by 59 publications

References 40 publications

Wormholes and nonsingular spacetimes in Palatinif(R)gravity

Wormholes and nonsingular spacetimes in Palatinif(R)gravity

On gravitational waves in Born-Infeld inspired non-singular cosmologies

Nonsingular Black Holes in Palatini Extensions of General Relativity

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