Gödel-type universes in energy-momentum-squared gravity

Abstract

In this paper, a modification of general relativity is considered. It consists of generalizing the Lagrangian of matter in a non-linear way, that is, replacing the curvature scalar $R$ by a function $f(R,T_{\mu \nu }{T}^{\mu \nu })$, where $T_{\mu \nu }$ is the energy-momentum tensor. The main objective is to investigate the issue of causality in this gravitational model. To study the causality and/or its violation the Gödel-type solutions are used. For such development, different matter contents are chosen. A critical radius, beyond which causality is violated, is calculated. It is shown that both causal and non-causal solutions are allowed.

15 pages, accepted for publication in EPJC

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Cited by in corpus (2)

• Energy-Momentum Squared Gravity: A Brief Overview
• Shadow behavior of an EMSG charged black hole