Forces in Kerr SpaceTimes with a Repulsive Cosmological Constant
Abstract
Forces defined in the framework of optical reference geometry are introduced in the case of stationary and axially symmetric Kerr black hole and nakedsingularity spacetimes with a repulsive cosmological constant. Properties of the forces acting on test particles moving along circular orbits in the equatorial plane are discussed, whereas it is shown where the gravitational force vanishes and changes its orientation and where the centrifugal force vanishes and changes its orientation independently of the velocity of test particles related to the optical geometry; the Coriolis force does not vanish for the velocity being nonzero. The spacetimes are classified according to the number of circular orbits where the gravitational and centrifugal forces vanish.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2006
 DOI:
 10.1142/S0217751X06032435
 arXiv:
 arXiv:grqc/0611152
 Bibcode:
 2006IJMPA..21.4869K
 Keywords:

 04.70.s;
 04.25.g;
 04.20.q;
 Physics of black holes;
 Approximation methods;
 equations of motion;
 Classical general relativity;
 General Relativity and Quantum Cosmology
 EPrint:
 Int.J.Mod.Phys. A21 (2006) 48694897