We study the geodesics of massive particles around an accelerating Schwarzschild black hole. show that radius innermost stable circular orbit and angular momentum a particle at this decrease by increasing acceleration. Apart from quantitative influence, acceleration qualitatively changes physics. in hole spacetime there exists outermost flat, de Sitter, anti--de Sitter backgrounds. Investigatio...

We present a systematic study of causality theory on Lorentzian manifolds with continuous metrics. Examples are given which show that some standard facts in smooth Lorentzian geometry, such as light-cones being hypersurfaces, are wrong when metrics which are merely continuous are considered. We show that existence of time functions remains true on domains of dependence with continuous metrics, ...