Topic
Introduction to the mathematics of general relativity
About: Introduction to the mathematics of general relativity is a research topic. Over the lifetime, 2583 publications have been published within this topic receiving 73295 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the dynamics of vacuum scalar-tensor cosmology were analyzed without specifying the coupling function or the scalar field potential, and it was shown that the dynamics are non-chaotic.
Abstract: In the context of scalar?tensor models of dark energy and inflation, the dynamics of vacuum scalar?tensor cosmology are analysed without specifying the coupling function or the scalar field potential. A conformal transformation to the Einstein frame is used and the dynamics of general relativity with a minimally coupled scalar field are derived for a generic potential. It is shown that the dynamics are non-chaotic, thus settling an existing debate.
37 citations
TL;DR: In this paper, a connection to a special case of minisuperspace model of general relativity in arbitrary dimensions is made, which is a first step in interpreting variables in canonical tensor model based on the known language of GRS.
37 citations
TL;DR: In this paper, a shear-free spherically symmetric cosmological model with heat flow was studied and a general method to generate solutions to the Einstein equations was presented.
Abstract: We study a shear-free spherically symmetric cosmological model with heat flow and present a general method to generate solutions. Using this solution generating scheme we obtain new classes of solutions to the Einstein equations.
37 citations
TL;DR: In this article, the authors show that nearly scale-invariant primordial tensor perturbations can be generated during a contracting phase before the radiation dominated epoch if the theory of gravity is modified by the scalar-tensor theory at that time.
37 citations
TL;DR: In this paper, a simple form and its physical interpretation are presented for a solution of the momentum constraint in the initial value problem of general relativity, and the physical interpretation is given.
Abstract: A simple form and its physical interpretation are presented for a solution of the momentum constraint in the initial-value problem of general relativity.
37 citations