A Manifestly Noncovariant Theory of Gravitation

TL;DR

This paper investigates a noncovariant gravitational theory with a modified Lagrangian, exploring solutions that include de Sitter, Kasner, and LFRW spacetimes, as well as spherically symmetric configurations.

Contribution

It introduces a noncovariant gravity model based on a modified Lagrangian density and analyzes its solutions, extending understanding of alternative gravitational theories.

Findings

Solutions include de Sitter, Kasner, and LFRW spacetimes for specific parameters.

The theory admits spherically symmetric solutions.

The model generalizes standard gravitation with potential implications for cosmology.

Abstract

We study a noncovariant theory of gravitation based on the Lagrangian density $\sqrt{-g})^\omega R$, where $\omega$ is a constant. In particular, we study solutions that for $\omega=1$ reduces to the de Sitter, Kasner and LFRW (with perfect fluid with as a source). We also consider spherically symmetric solutions.