Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Saraykar, R V"'
Autor:
Saraykar, R V, Janardhan, Sujatha
Publikováno v:
Asian Journal of Mathematics and Computer Research, Vol.20, Issue 1 (2017) 22-31
In [1], the authors have studied stability of certain causal properties of space-times in general relativity. As a continuation of this work, in the present paper, we review and discuss, some more aspects of stability which occur in various situation
Externí odkaz:
http://arxiv.org/abs/1709.04367
Autor:
Saraykar, R. V.
In this article, we review and discuss different aspects of stability and genericity of some properties of space-times which occur in various contexts in the General Theory of Relativity. We also give argument supporting the conclusion that Lineariza
Externí odkaz:
http://arxiv.org/abs/1612.08812
Autor:
Saraykar, R. V., Rai, Juhi H.
In this paper, we prove that Linearization Stability of Einstein Field Equations is a Generic Property in the sense that within the class $\mathcal{V}$ of space-times which admit a compact Cauchy hypersurface of constant mean curvature, the subclass
Externí odkaz:
http://arxiv.org/abs/1609.07703
Autor:
Rai, Juhi H., Saraykar, R. V.
In this paper, we prove that the set of solutions of constraint equations for coupled Einstein and scalar fields in classical general relativity possesses Hilbert manifold structure. We follow the work of R. Bartnik [2] and use weighted Sobolev space
Externí odkaz:
http://arxiv.org/abs/1605.08858
Autor:
Saraykar, R V, Janardhan, Sujatha
In this article we present a review of a geometric and algebraic approach to causal cones and describe cone preserving transformations and their relationship with the causal structure related to special and general relativity. We describe Lie groups,
Externí odkaz:
http://arxiv.org/abs/1411.1836
Autor:
Saraykar, R. V., Janardhan, Sujatha
This is a short review article in which we discuss and summarize the works of various researchers over past four decades on Zeeman topology and Zeeman-like topologies, which occur in special and general theory of relativity. We also discuss various p
Externí odkaz:
http://arxiv.org/abs/1410.3895
Publikováno v:
Physical Review D 66, 084006 (2002)
We investigate the occurrence and nature of naked singularities in the gravitational collapse of a self-similar adiabatic perfect fluid in a five dimensional space-time. The naked singularities are found to be gravitationally strong in the sense of T
Externí odkaz:
http://arxiv.org/abs/1409.8010
Autor:
Sarwe, Sanjay, Saraykar, R. V.
Publikováno v:
Grav.Cosmol. 20(2014) 282-289
We study stability of occurrence of black holes and naked singularities that arise as a final state for a complete gravitational collapse of type I matter field in a spherically symmetric $N$ dimensional spacetime with equation of state $p = k \rho$,
Externí odkaz:
http://arxiv.org/abs/1211.6534
Autor:
Janardhan, Sujatha, Saraykar, R. V.
Publikováno v:
Gravitation and Cosmology, vol. 19, issue 1 (2013)
We present a short review of geometric and algebraic approach to causal cones and describe cone preserving transformations and their relationship with causal structure related to special and general theory of relativity. We describe Lie groups, espec
Externí odkaz:
http://arxiv.org/abs/1208.4580
We investigate here gravitational collapse of a perfect fluid with a linear isentropic equation of state $p = k \rho$. A class of collapse models is given which is a family of solutions to Einstein equations and the final fate of collapse is analyzed
Externí odkaz:
http://arxiv.org/abs/1207.3200