T. Shiromizu et U. Gen, Spacetimes which are asymptotic to certain Friedman-Robertson-Walker spacetimes at timelike infinity, CLASS QUANT, 16(9), 1999, pp. 2955-2964
We define spacetimes which are asymptotic to radiation-dominated Friedman-R
obertson-Walker spacetimes at timelike infinity and study the asymptotic st
ructure. We discuss the local asymptotic symmetry and give a definition of
the total energy from the electric part of the Weyl tensor.