Kinematic quantities for a spherical distribution of uniformly accelerated observers

Abstract

The kinematical quantities derived from the velocity field of a nongeodesic congruence are studied. We found the shear tensor components are finite in time but diverge at the event horizon of the spacetime located at $\rho =0$. The surface gravity on the horizon is just the proper acceleration of the uniformly expanding distribution of observers, in spherical Rindler coordinates. The Raychaudhuri equation is fulfilled for the congruence of particles worldlines.

arXiv comment5 pages, title changed, Eq. 16 corrected, no figures

Cited by in corpus (1)

• On geodesics in spherical Rindler space