230 Citations
Geodesics at Sudden Singularities
- Mathematics, Physics
- 2013
We show that a general solution of the Einstein equations that describes approach to an inhomogeneous and anisotropic sudden spacetime singularity does not experience geodesic incompleteness. This…
On the null geodesics from the viewpoint of space-time singularities
- Mathematics
- 1983
We examined the complete form of the propagation equation of the expansion for null geodesies and we found some restrictions in integral form on the Ricci and Weyl tensors near a singularity.
On null isotropy in spacetimes
- Mathematics
- 2005
Null isotropy in a spacetime is defined. The relation of null isotropy to the constant curvature and infinitesimal spatial isotropy is investigated. The influence of null isotropy on conjugate points…
A general sudden cosmological singularity
- Mathematics
- 2010
We construct an asymptotic series for a general solution of the Einstein equations near a sudden singularity. The solution is quasi isotropic and contains nine independent arbitrary functions of the…
Axial symmetry causality violating spacetime and the naked singularity
- PhysicsInternational Journal of Geometric Methods in Modern Physics
- 2018
A non-spherical solution of Einstein’s field equations, possessing a naked curvature singularity on the symmetry axis, satisfying the strong curvature condition, is presented. The spacetime admits…
The Study of Gravitational Collapse Model in Higher Dimensional Spacetime
- Physics
- 2003
We investigate the end state of the gravitational collapse of an inhomogeneous dust cloud in higher dimensional spacetime. The naked singularities are shown to be developing as the final outcome of…
Strong curvature singularities in quasi-spherical asymptotically de Sitter dust collapse
- Mathematics, Physics
- 2001
We study the occurrence, visibility, and curvature strength of singularities in dust-containing Szekeres spacetimes (which possess no Killing vectors) with a positive cosmological constant. We find…
BEYOND THE HORIZON TO UNKNOWN TERRITORIES: THE SINGULARITY INSIDE BLACK HOLES
- Physics, Mathematics
- 1999
We study the Cauchy horizon singularity inside a spherical charged black hole, coupled to a self-gravitating scalar field. We show that all the radial causal geodesics terminate at a weak singularity…
Gravitational collapse in a cylindrical symmetric vacuum space-time and the naked singularity
- Physics, Mathematics
- 2018
Abstract.We construct a cylindrical symmetry vacuum solution of the Einstein field equations, regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The…
Geodesic behavior of sudden future singularities
- Physics
- 2004
In this paper we analyze the effect of recently proposed classes of sudden future singularities on causal geodesics of FLRW spacetimes. Geodesics are shown to be extendible and just the equations for…
References
SHOWING 1-4 OF 4 REFERENCES
On the nature of singularities in general relativity
- Mathematics
- 1977
It is shown that there is an upper bound to the rate of growth of the Ricci curvature near a singularity.
Space-time singularities
- Mathematics
- 1976
A set of conditions for the reasonableness of space-time is proposed and investigated. Using these, together with strong causality and an assumption of genericness, it is shown that future timelike…
Techniques of Differential Topology in Relativity
- Mathematics
- 1972
Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.