Constraint on dark matter central density in the Eddington inspired Born-Infeld (EiBI) gravity with input from Weyl gravity

Potapov, Alexander A.; Izmailov, R. N.; Mikolaychuk, O. V.; Mikolaychuk, N. P.; Ghosh, Mrityunjoy; Nandi, K. K.

doi:10.1088/1475-7516/2015/07/018

Cited by 11 publications

(9 citation statements)

References 188 publications

(389 reference statements)

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“…Analogous studies like e.g. those in [309,216] find similar results and are, thus, subjected to the same limitations. Similarly, the bounds obtained on M BI from other cosmological and astrophysical probes explain the results found in [145] where the authors compute the matter power spectrum for the EiBI theory.…”

Section: Late-time Cosmologymentioning

confidence: 61%

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: Late-time Cosmologymentioning

confidence: 61%

Born–Infeld inspired modifications of gravity

et al. 2018

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“…For given values of κ, ρ 0 , Λ, w and K, we can determine the value of a 0 from Eq. (12). In the case of K = 0 and ρ 0 = 0, Eq.…”

Section: Eibi Theorymentioning

confidence: 98%

“…In past years, EiBI theory had been extensively studied in cosmology [4][5][6][7][8][9][10][11][12], black holes [13][14][15], astrophysics [16][17][18] and some related subjects (e.g. [19][20][21][22]).…”

Section: Introductionmentioning

confidence: 99%

Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory

Hao

2017

Phys. Rev. D

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By considering the realization of the emergent universe scenario in Eddington-inspired Born-Infeld (EiBI) theory, we study the stability of the Einstein static universe filled with perfect fluid in EiBI theory against both the homogeneous and inhomogeneous scalar perturbations in this work. We find that in both the spatially flat and closed cases, the emergent universe scenario is no longer viable, since the Einstein static universe cannot be stable against both the homogeneous and inhomogeneous scalar perturbations simultaneously. However, the emergent universe scenario survives in the spatially open case, while the Einstein static universe can be stable under some conditions.

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“…Following Edery and Paranjape [72], and later works [48,49], we use the input θ Ein = θ Weyl , which yields…”

Section: Algorithm For Mass Decompositionmentioning

confidence: 99%

“…The most recent model, to our knowledge, seems to be the so called Eddingtoninspired Born-Infeld (EiBI) theory, succintly called the "gravitational avatar of non-linear electrodynamics" [40], developed by Bañados and Ferreira [41]. This new, and more general, theory has led to many interesting observable predictions about dark matter including the possibility of nonsingular cosmological models alternative to inflation [42][43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Mass decomposition of SLACS lens galaxies in Weyl conformal gravity

2016

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We study here, using the Mannheim-Kazanas solution of Weyl conformal theory, the mass decomposition in the representative subsample of 57 earlytype elliptical lens galaxies of the Sloan Lens Advanced Camera for Surveys (SLACS) on board the Hubble Space Telescope (HST). We begin by showing that the solution need not be an exclusive solution of conformal gravity but can also be viewed as a solution of a class of f (R) gravity theories coupled to non-linear electrodynamics thereby rendering the ensuing results more universal. Since lensing involves light bending, we shall first show that the solution adds to Schwarzschild light bending caused by the luminous mass (M * ) a positive contribution +γR contrary to the previous results in the literature, thereby resolving a long standing problem. The cause of the error is critically examined. Next, applying the expressions for light bending together with an input equating Einstein and Weyl angles, we develop a novel algorithm for separating the luminous component from the total lens mass (luminous+dark) within the Einstein radius. Our results indicate that the luminous mass estimates differ from the observed total lens masses by a linear proportionality factor across the subsample, which qualitatively agrees with the common conclusion from a number of different simulations in the literature. In quantitative detail, we observe that the ratios of luminous over total lens mass (f * ) within the Einstein radius of individual galaxies take on values near unity, many of which remarkably fall inside or just marginally outside the specified error bars obtained from a simulation based on the Bruzual-Charlot stellar population synthesis model together with the Salpeter Intitial Mass Function (IMF) favored on the ground of metallicity [Grillo et al., Astron. Astrophys. 501, 461(2009) average dark matter density ρ av of individual galaxies within their respective Einstein spheres. To our knowledge, the present approach, being truly analytic, seems to be the first of its kind attempting to provide a new decomposition scheme distinct from the simulational ones.

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Constraint on dark matter central density in the Eddington inspired Born-Infeld (EiBI) gravity with input from Weyl gravity

Abstract: Recently, Harko et al. (2014) derived an approximate metric of the galactic halo in the Eddington inspired Born-Infeld (EiBI) gravity. In this metric, we show that there is an upper limit ρ is a remarkable prediction of the EiBI theory.

Cited by 11 publications

References 188 publications

Born–Infeld inspired modifications of gravity

Born–Infeld inspired modifications of gravity

Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory

Mass decomposition of SLACS lens galaxies in Weyl conformal gravity

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