Journal Article

Axially symmetric solutions in Ricci-inverse modified gravity

Ahmed, F., de Souza, J. C. R., Santos, A. F.

2024

Overview

We investigate a family of axial symmetry solution constructed in general relativity (GR) within the framework of Ricci-inverse (RI) gravity theory. In GR, these solutions admitted closed time-like curves at an instant of time from an initial spacelike hypersurface in a causally well-behaved manner, thus, violates the causality condition. Our aim is to examine these axial symmetry solutions within the context of Ricci-inverse gravity theory to determine whether closed time-like curves still appear in this new gravity theory. We consider two Classes of RI-gravity models: (i) Class-II models defined by a function f = f ( R , A μ ν A μ ν ) gravity and (ii) Class-III models defined by f = f ( R , A , A μ ν A μ ν ) , where A μ ν is the anti-curvature tensor, A = g μ ν A μ ν as its scalar, and R μ ν is the Ricci tensor. We are able solved the modified field equations considering these axial symmetry solutions as background in RI-gravity with null radiation as the matter content and the cosmological constant. This confirms that the chosen family of axial symmetry solutions are valid solutions in RI-gravity theory and, consequently, closed time-like curves is still form, analogous to their formation in GR.

• Publisher: Springer Berlin Heidelberg,Springer,Springer Nature B.V,SpringerOpen
• Subject: Astronomical models / Astronomy / Astrophysics and Cosmology / Cosmological constant / Elementary Particles / Hadrons / Heavy Ions / Hyperspaces / Measurement Science and Instrumentation / Nuclear Energy / Nuclear Physics / Physics / Physics and Astronomy / Quantum Field Theories / Quantum Field Theory / Radiation / Regular Article - Theoretical Physics / Relativity / String Theory / Symmetry / Tensors