Black holes and dark energy from gravitational collapse on the brane

Gergely, L.

doi:10.1088/1475-7516/2007/02/027

Cited by 34 publications

(33 citation statements)

References 55 publications

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“…Several classes of spherically symmetric solutions of the static gravitational field equations in the vacuum on the brane have been obtained in Harko & Mak (2003, 2005), Mak & Harko (2004), Böhmer & Harko (2007c), Gergely (2007) and Horváth, Gergely & Hobill (2003). As a possible physical application of these solutions the behaviour of the angular velocity v tg of the test particles in stable circular orbits has been considered (Mak & Harko 2004; Harko & Cheng 2006; Böhmer & Harko 2007c; Rahaman et al 2008).…”

Section: Introductionmentioning

confidence: 99%

Galactic rotation curves in brane world models

Gergely¹,

Harkó²,

Dwornik³

et al. 2011

Monthly Notices of the Royal Astronomical Society

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In the braneworld scenario the four dimensional effective Einstein equation has extra source terms, which arise from the embedding of the 3-brane in the bulk. These non-local effects, generated by the free gravitational field of the bulk, may provide an explanation for the dynamics of the neutral hydrogen clouds at large distances from the galactic center, which is usually explained by postulating the existence of the dark matter. In the present paper we consider the asymptotic behavior of the galactic rotation curves in the brane world models, and we compare the theoretical results with observations of both High Surface Brightness and Low Surface Brightness galaxies. For the chosen sample of galaxies we determine first the baryonic parameters by fitting the photometric data to the adopted galaxy model; then we test the hypothesis of the Weyl fluid acting as dark matter on the chosen sample of spiral galaxies by fitting the tangential velocity equation of the combined baryonic-Weyl model to the rotation curves. We give an analytical expression for the rotational velocity of a test particle on a stable circular orbit in the exterior region to a galaxy, with Weyl fluid contributions included. The model parameter ranges for which the $\chi^2$ test provides agreement (within 1$\sigma$ confidence level) with observations on the velocity fields of the chosen galaxy sample are then determined. There is a good agreement between the theoretical predictions and observations, showing that extra-dimensional models can be effectively used as a viable alternative to the standard dark matter paradigm.Comment: to be published in MNRAS, 17 pages, 31 figures, version including corrections on the proo

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Section: Introductionmentioning

confidence: 99%

Galactic rotation curves in brane world models

Gergely¹,

Harkó²,

Dwornik³

et al. 2011

Monthly Notices of the Royal Astronomical Society

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“…Both early cosmology [26] and gravitational collapse [27][28][29][30][31][32] are essentially modified in these theories. There is also possible to replace dark matter with geometric effects in the interpretation of galactic rotation curves, weak lensing and galaxy cluster dynamics [33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

The luminosity-redshift relation in brane-worlds: I. Analytical results

et al. 2007

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The luminosity distance -redshift relation is analytically given for generalized RandallSundrum type II brane-world models containing Weyl fluid either as dark radiation or as a radiation field from the brane. The derived expressions contain both elementary functions and elliptic integrals of the first and second kind. First we derive the relation for models with the Randall-Sundrum fine-tuning. Then we generalize the method for models with cosmological constant. The most interesting models contain small amounts of Weyl fluid, expected to be in good accordance with supernova data. The derived analytical results are suitable for testing brane-world models with Weyl fluid when future supernova data at higher redshifts will be available.

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“…The effective field equations are complemented by a set of equations, obtained from the 5D Einstein equations and Bianchi equations [3,10,11], which are employed to calculate the terms of the Taylor expansion of the metric along the extra dimension, providing in particular the black string profile and some physical consequences, given by (hereon we denote g μν (x α , 0) = g μν ):…”

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confidence: 99%

Black holes in realistic branes: Black string-like objects?

2013

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A realistic model describing a black string-like object in an expanding Universe is analyzed in the context of the McVittie's solution of the Einstein field equations. The bulk metric near the brane is provided analogously to previous solutions for black strings. In particular, we show that at least when the Hubble parameter on the brane is positive, a black string-like object seems to play a fundamental role in the braneworld scenario, generalizing the standard black strings in the context of a dynamical brane.

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Black holes and dark energy from gravitational collapse on the brane

Cited by 34 publications

References 55 publications

Galactic rotation curves in brane world models

Galactic rotation curves in brane world models

The luminosity-redshift relation in brane-worlds: I. Analytical results

Black holes in realistic branes: Black string-like objects?

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