Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 32, Issue 4, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/32/4/045015
Keywords
braneworld; extra dimension; relativistic astrophysics
Categories
Funding
- European Union
- State of Hungary - European Social Fund [TAMOP-4.2.4.A/2-11/1-2012-0001]
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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 sigma and the radius R of the star, i.e. Delta(-1) similar to R sigma. 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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