Stars in the braneworld

By C. Germani, R. Maartens. 2001

223 citations recorded by the source corpus.

We show that, in a Randall-Sundrum II type braneworld, the vacuum exterior of a spherical star is not in general a Schwarzschild spacetime, but has radiative-type stresses induced by five-dimensional graviton effects. Standard matching conditions do not lead to a unique exterior on the brane because of these five-dimensional graviton effects. We find an exact uniform-density stellar solution on the brane, and show that the general relativity upper bound $GM/Rl\frac{4}{9}$ is reduced by five-dimensional high-energy effects. The existence of neutron stars leads to a constraint on the brane tension that is stronger than the big bang nucleosynthesis constraint, but weaker than the Newton-law experimental constraint. We present two different non-Schwarzschild exteriors that match the uniform-density star on the brane, and we give a uniqueness conjecture for the full five-dimensional problem.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f59d9b8a83c3efb0f1831a0a4b6010079f599de8

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Citations in the corpus

Generalized Uncertainty Principle: Approaches and Applications (2014, background): “[251] Cristiano Germani and Roy Maartens, ”Stars in the braneworld”, Phys.”
Orbital resonances in discs around braneworld Kerr black holes (2008, background): “The combination of high-en ergy (local) and bulk stress (non-local) effects alters significantly the matching problem on the brane, as co mpared to the 4D Einstein gravity; for spherical objects, matching no longer leads to a Schwarzschild exteri or in general [23,29].”
Brane-World Gravity (2004, background): “Brane solutions of static black hole exteriors with 5D corrections to the Schwarzschild metric have been found [105, 160, 119, 422, 224, 73, 223], but the bulk metric for these solutions has not been found.”