Born-Infeld gravity in any dimension

Nieto, J. A.

doi:10.1103/physrevd.70.044042

Cited by 32 publications

(28 citation statements)

References 33 publications

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“…We will also include in this class theories making use of the determinantal structure characteristic of Born-Infeld theories, but which reduce to other types of theories, either completely or in its regime of validity. This is for instance the case of [260] that secretly describes Lovelock gravity, as discussed in section 2.2.…”

Section: Class IVmentioning

confidence: 99%

Born–Infeld inspired modifications of gravity

et al. 2018

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General Relativity has shown an outstanding observational success in the scales where it has been directly tested. However, modifications have been intensively explored in the regimes where it seems either incomplete or signals its own limit of validity. In particular, the breakdown of unitarity near the Planck scale strongly suggests that General Relativity needs to be modified at high energies and quantum gravity effects are expected to be important. This is related to the existence of spacetime singularities when the solutions of General Relativity are extrapolated to regimes where curvatures are large. In this sense, Born-Infeld inspired modifications of gravity have shown an extraordinary ability to regularise the gravitational dynamics, leading to non-singular cosmologies and regular black hole spacetimes in a very robust manner and without resorting to quantum gravity effects. This has boosted the interest in these theories in applications to stellar structure, compact objects, inflationary scenarios, cosmological singularities, and black hole and wormhole physics, among others. We review the motivations, various formulations, and main results achieved within these theories, including their observational viability, and provide an overview of current open problems and future research opportunities.

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Section: Class IVmentioning

confidence: 99%

Born–Infeld inspired modifications of gravity

et al. 2018

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“…Indeed, the low energy effective action in an open superstring in loop calculations lead to Born-Infeld type actions [3]. These important features of the Born-Infeld theory, together with its corrective properties concerning singularities, further motivate to search for gravitational analogs of this theory in the past [6][7][8][9][10][11], and also interesting measures have been taken to get the spherically symmetric solutions [12][13][14]. The thermodynamic properties and causal structure of the Einstein-Born-Infeld black holes drastically differ from those of the classical Reissner-Nordstrom black holes.…”

Section: Introductionmentioning

confidence: 99%

Horizon structure of rotating Einstein–Born–Infeld black holes and shadow

2016

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We investigate the horizon structure of the rotating Einstein-Born-Infeld solution which goes over to the Einstein-Maxwell's Kerr-Newman solution as the BornInfeld parameter goes to infinity (β → ∞). We find that for a given β, mass M, and charge Q, there exist a critical spinning parameter a E and r E H , which corresponds to an extremal Einstein-Born-Infeld black hole with degenerate horizons, and a E decreases and r E H increases with increase of the Born-Infeld parameter β, while a < a E describes a non-extremal Einstein-Born-Infeld black hole with outer and inner horizons. Similarly, the effect of β on the infinite redshift surface and in turn on the ergo-region is also included. It is well known that a black hole can cast a shadow as an optical appearance due to its strong gravitational field. We also investigate the shadow cast by the both static and rotating Einstein-Born-Infeld black hole and demonstrate that the null geodesic equations can be integrated, which allows us to investigate the shadow cast by a black hole which is found to be a dark zone covered by a circle. Interestingly, the shadow of an Einstein-Born-Infeld black hole is slightly smaller than for the Reissner-Nordstrom black hole, which consists of concentric circles, for different values of the Born-Infeld parameter β, whose radius decreases with increase of the value of the parameter β. Finally, we have studied observable distortion parameter for shadow of the rotating Einstein-Born-Infeld black hole. a e-mails: farruh@astrin.uz;

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“…Our work follows this line of thought and extends the unitarity analysis to constant curvature spaces. We would like to point out to some related works where BI-type gravities, their cosmological and other solutions have been studied [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Unitarity analysis of general Born-Infeld gravity theories

2010

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We develop techniques of analyzing the unitarity of general Born-Infeld gravity actions in D-dimensional spacetimes. The determinantal form of the action allows us to find a compact expression quadratic in the metric fluctuations around constant curvature backgrounds. This is highly nontrivial since for the Born-Infeld actions, in principle, infinitely many terms in the curvature expansion should contribute to the quadratic action in the metric fluctuations around constant curvature backgrounds, which would render the unitarity analysis intractable. Moreover in even dimensions, unitarity of the theory depends only on finite number of terms built from the powers of the curvature tensor. We apply our techniques to some four-dimensional examples.

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Born-Infeld gravity in any dimension

Cited by 32 publications

References 33 publications

Born–Infeld inspired modifications of gravity

Born–Infeld inspired modifications of gravity

Horizon structure of rotating Einstein–Born–Infeld black holes and shadow

Unitarity analysis of general Born-Infeld gravity theories

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