0 21 00 07 v 2 1 0 A pr 2 00 3 Geodesics in spacetimes with expanding impulsive gravitational waves

The Influence of Impulsive Gravitational Waves on Particles in Spacetimes of Constant Curvature

Abstract. In this work we study the influence of expanding spherical impulsive gravitational waves on geodesics in spacetimes of constant curvature. In the case of a non-zero cosmological constant, for general C1 geodesic in continuous coordinate system, we derive the refraction formulae which identify the positions and the velocity vector inclinations of free test particles on both sides of th...

ar X iv : g r - qc / 0 40 30 65 v 2 1 6 A ug 2 00 4 SOLVEGEOMETRY GRAVITATIONAL WAVES

In this paper we construct negatively curved Einstein spaces describing gravitational waves having a solvegeometry wave-front (i.e., the wave-fronts are solvable Lie groups equipped with a left-invariant metric). Using the Einstein solvmanifolds (i.e., solvable Lie groups considered as manifolds) constructed in a previous paper as a starting point, we show that there also exist solvegeometry gr...

ar X iv : 0 70 4 . 33 68 v 2 [ gr - q c ] 2 6 A pr 2 00 7 Search for gravitational waves from binary inspirals in S 3 and S 4 LIGO data

ar X iv : g r - qc / 0 21 10 17 v 2 5 M ar 2 00 3 On general Plane Fronted Waves . Geodesics

A general class of Lorentzian metrics, M0 × R 2 , ·, ·z = ·, ·x + 2 du dv + H(x, u) du 2 , with (M0, ·, ·x) any Riemannian mani-fold, is introduced in order to generalize classical exact plane fronted waves. Here, we start a systematic study of their main geodesic properties: geodesic completeness, geodesic connectedness and multiplicity or causal character of connecting geodesics. These result...

ar X iv : g r - qc / 0 41 21 17 v 1 2 3 D ec 2 00 4 A quantum mass - spectrum of Kerr black hole : superstrings

Using thermal quantization of geodesics confined under horizons and reasonable conjecture on massless modes, we evaluate quantum spectrum of Kerr black hole masses compatible with superstring symmetries.