Space-times which are asymptotic to certain Friedman-Robertson-Walker space-times at timelike infinity

TL;DR

This paper investigates the asymptotic structure of space-times resembling radiation-dominant Friedman-Robertson-Walker models at timelike infinity, focusing on symmetry and energy definitions derived from the Weyl tensor.

Contribution

It introduces a framework for analyzing the asymptotic behavior and symmetries of specific cosmological space-times at timelike infinity.

Findings

Defined asymptotic conditions for radiation-dominant FRW space-times

Analyzed local asymptotic symmetry properties

Proposed a new definition of total energy using Weyl tensor components

Abstract

We define space-times which are asymptotic to radiation dominant Friedman-Robertson-Walker space-times at timelike infinity and study the asymptotic structure. We discuss the local asymptotic symmetry and give a definition of the total energy from the electric part of the Weyl tensor.