Brane-world stars with a solid crust and vacuum exterior

The minimal geometric deformation approach is employed to show the existence of brane-world stellar distributions with a vacuum Schwarzschild exterior, thus without energy leaking from the exterior of the brane-world star into the extra dimension. The interior satisfies all the elementary criteria o...

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Published inClassical and quantum gravity Vol. 32; no. 4; pp. 45015 - 45033
Main Authors Ovalle, Jorge, Gergely, László Á, Casadio, Roberto
Format Journal Article
LanguageEnglish
Published IOP Publishing 19.02.2015
Subjects
Acceptability
Accretion disks
braneworld
Crusts
Exteriors
extra dimension
Gravitational lenses
Orbital mechanics
Quantum gravity
relativistic astrophysics
Stars
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Summary:The minimal geometric deformation approach is employed to show the existence of brane-world stellar distributions with a vacuum Schwarzschild exterior, thus without energy leaking from the exterior of the brane-world star into the extra dimension. The interior satisfies all the elementary criteria of physical acceptability for a stellar solution, namely, it is regular at the origin, the pressure and density are positive and decrease monotonically with increasing radius, and all energy conditions are fulfilled. A very thin solid crust with negative radial pressure separates the interior from the exterior, having a thickness inversely proportional to both the brane tension and the radius R of the star, i.e. . This brane-world star with Schwarzschild exterior would appear only thermally radiating to a distant observer and be fully compatible with the stringent constraints imposed on stellar parameters by observations of gravitational lensing, orbital evolutions or properties of accretion disks.
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ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/32/4/045015