Gravitating defects of codimension-two

Abstract

Thin gravitating defects with conical singularities in higher codimensions and with generalized Israel matching conditions are known to be inconsistent for generic energy-momentum. A way to remove this inconsistency is proposed and is realized for an axially symmetric gravitating codimension-two defect in six dimensional Einstein gravity. By varying with respect to the brane embedding fields, alternative matching conditions are derived, which are generalizations of the Nambu-Goto equations of motion of the defect, consistent with bulk gravity. For a maximally symmetric defect the standard picture is recovered. The four-dimensional perfect fluid cosmology coincides with conventional FRW in the case of radiation, but for dust it has rho^{4/3} instead of rho. A four-dimensional black hole solution is presented having the Schwarzschild form with a short-distance correction r^{-2}.

Minor changes, to appear in Classical and Quantum Gravity

References in corpus (11)

• Einstein gravity on the codimension 2 brane?
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Cited by in corpus (4)

• Brane Gravitational Extension of Dirac's "Extensible Model of the Electron"
• 5-dimensional braneworld with gravitating Nambu-Goto matching conditions
• Self-gravitating branes again
• Cosmological solutions and observational constraints on 5-dimensional braneworld cosmology with gravitating Nambu-Goto matching conditions