Braneworld gravitational collapse from a radiative bulk

Pal, Supratik

doi:10.1103/physrevd.74.124019

Cited by 24 publications

(7 citation statements)

References 70 publications

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“…Recently, Randall and Sundrum gave a concrete form to the idea of braneworld [35,36] as a higher dimensional approach to modify GR from a purely geometrical approach [37]. Braneworlds have been used very effectively as a platform to investigate cosmological [38][39][40][41][42][43][44][45], astrophysical [46][47][48][49][50][51] and collapse [52][53][54][55] problems. Due to the non-locality and non-closure properties of the modified EFE on the brane, the minimum geometric deformation approach has been introduced [56][57][58][59], which are the key tools for studying collapse problems on the brane.…”

Section: Introductionmentioning

confidence: 99%

Traversable wormhole on the brane with non-exotic matter: a broader view

Sengupta

Ghosh

Kalam

et al. 2022

Class. Quantum Grav.

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In this article, the possibility of construction of a traversable wormhole on the Randall-Sundrum braneworld with non-exotic matter employing the Kuchowicz potential has been studied. We have obtained the solution for the shape function of the wormhole and studied its properties along with validity of Null Energy Condition (NEC). The junction conditions at the surface of the wormhole are used to evaluate the model parameters. We also evaluate the surface density and surface pressure for the wormhole. We study the geometrical nature of the wormhole and consider the radial and tangential tidal constraints on a traveller trying to traverse the wormhole. Besides, a linearized stability analysis is performed to obtain the region of stability for the wormhole. Our analysis, besides giving an estimate for the bulk equation of state (EoS) parameter, imposes restrictions on the brane tension, which is a very essential parameter in braneworld physics, and very interestingly the restrictions imposed by our physically plausible and traversable wormhole model are in conformity with those imposed by other braneworld geometries which are not associated with a wormhole solution. Besides, it is important to study such constraints imposed by geometrical objects such as wormholes on any gravity theory operating at high-energy scales like braneworld, as wormholes are believed to have been formed from massive compact objects of high energy densities. Also, we go on to justify that the possible detection of a wormhole may well indicate that we live on a three-brane universe.

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Section: Introductionmentioning

confidence: 99%

Traversable wormhole on the brane with non-exotic matter: a broader view

Sengupta

Ghosh

Kalam

et al. 2022

Class. Quantum Grav.

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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%

“…A review of many aspects related to the theories described by the effective Einstein equation ( 2) can be found in [13]. Both early cosmology [14] and gravitational collapse [15]- [20] 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 [21].…”

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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“…A related result states that the vacuum exterior of a spherical star has radiative-type stresses, and again the exterior is not a Schwarzschild space-time [33]. An effective Schwarzschild solution on the brane was however shown to exist if there is energy exchange between the bulk and the brane collapsing star [34].…”

Section: Introductionmentioning

confidence: 99%

Black holes and dark energy from gravitational collapse on the brane

Gergely

2007

J. Cosmol. Astropart. Phys.

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The gravitational collapse of a pressureless fluid in general relativity (Oppenheimer-Snyder collapse) results in a black hole. The study of the same phenomenon in the brane-world scenario has shown that the exterior of the collapsing dust sphere cannot be static. We show that by allowing for pressure, the exterior of a fluid sphere can be static. The gravitational collapse on the brane proceeds according to the modified gravitational dynamics, turning the initial nearly dust-like configuration into a fluid with tension. The tension arises from the non-linearity of the dynamical equations in the energy-momentum tensor, and it vanishes in the general relativistic limit. Below the horizon the tension turns the star into dark energy. This transition occurs right below the horizon for astrophysical black holes and far beyond the horizon for intermediate mass and galactic black holes. Further, both the energy density and the tension increase towards infinite values during the collapse. The infinite tension however could not stop the formation of the singularity.

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Braneworld gravitational collapse from a radiative bulk

Cited by 24 publications

References 70 publications

Traversable wormhole on the brane with non-exotic matter: a broader view

Traversable wormhole on the brane with non-exotic matter: a broader view

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

Black holes and dark energy from gravitational collapse on the brane

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