arXiv subjects

Loo-Tee How

Publications and source records attributed to Loo-Tee How.

2 recordsLinked to original sources

arXiv2021

Almost pseudo-Ricci symmetric spacetime solutions in $F(R)$-gravity

The objective of the present paper is to study 4-dimensional almost pseudo Ricci symmetric perfect fluid spacetimes $(APRS)_4$. We show that a Robertson-Walker spacetime is $(APRS)_4$ and vice versa under certain condition imposed on its scale factor. Some popular toy models of $F(R)$-gravity are also studied under the current setting and various energy conditions are investigated.

gr-qc↗

arXiv2021

A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds

Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, $(GR)_n$ structure are completely classified in this short report. A conformally flat generalized Ricci recurrent pseudo-Riemannian manifold is shown to be either a de Sitter space or an anti-de Sitter space. In particular, a conformally flat generalized Ricci recurrent spacetime must be either a de Sitter spacetime or an anti-de Sitter spacetime.

math.DG↗