Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-02
Phys.Rev. D64 (2001) 124010
Physics
High Energy Physics
High Energy Physics - Theory
6 pages RevTex, 2 figs, minor corrections to match version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.64.124010
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 5-dimensional graviton effects. Standard matching conditions do not lead to a unique exterior on the brane because of these 5-dimensional graviton effects. We find an exact uniform-density stellar solution on the brane, and show that the general relativity upper bound $GM/R<{4\over9}$ is reduced by 5-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 5-dimensional problem.
Germani Cristiano
Maartens Roy
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