Interaction of a brane with a moving bulk black hole
Abstract
We study the interaction of an ndimensional topological defect (nbrane) described by the NambuGoto action with a higherdimensional Schwarzschild black hole moving in the bulk spacetime. We derive the general form of the perturbation equations for an nbrane in the weak field approximation and solve them analytically in the most interesting cases. We especially analyze applications to brane world models. We calculate the induced geometry on the brane generated by a moving black hole. From the point of view of a brane observer, this geometry can be obtained by solving (n+1)dimensional Einstein’s equations with a nonvanishing righthand side. We calculate the effective stressenergy tensor corresponding to this “shadow matter.” We explicitly show that there exist regions on the brane where a brane observer sees an apparent violation of energy conditions. We also study the deflection of light propagating in the region of influence of this shadow matter.
 Publication:

Physical Review D
 Pub Date:
 August 2003
 DOI:
 10.1103/PhysRevD.68.044002
 arXiv:
 arXiv:grqc/0304083
 Bibcode:
 2003PhRvD..68d4002F
 Keywords:

 04.50.+h;
 04.70.Bw;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Classical black holes;
 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 version accepted for publication in Phys. Rev. D