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 Δ inversely proportional to both the brane tension σ and the −1 radius R of the star, i.e. Δ ∼ Rσ. 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.
Titolo: | Brane-world stars with a solid crust and vacuum exterior | |
Autore/i: | Jorge Ovalle; László Á. Gergely; CASADIO, ROBERTO | |
Autore/i Unibo: | ||
Anno: | 2015 | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/0264-9381/32/4/045015 | |
Abstract: | 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 Δ inversely proportional to both the brane tension σ and the −1 radius R of the star, i.e. Δ ∼ Rσ. 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. | |
Data prodotto definitivo in UGOV: | 2015-03-16 17:18:11 | |
Data stato definitivo: | 2020-01-17T15:41:03Z | |
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