Brane-world stars with a solid crust and vacuum exterior

Jorge Ovalle, László Gergely, Roberto Casadio

Research output: Contribution to journalArticle

64 Citations (Scopus)

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 radius R of the star, i.e. Δ-1 ∼ 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.

Original languageEnglish
Article number045015
JournalClassical and Quantum Gravity
Volume32
Issue number4
DOIs
Publication statusPublished - Feb 19 2015

Keywords

  • Braneworld
  • Extra dimension
  • Relativistic astrophysics

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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