Work

h-Almost Conformal η-Ricci–Bourguignon Solitons and Spacetime Symmetry in Barotropic Fluids Within f(R,T) Gravity

Year: 2025

Type: article

Abstract: We investigate the geometric and physical properties of the h-almost conformal η-Ricci–Bourguignon soliton and its gradient form by employing a barotropic equation of state within the framework of f(R,T) gravity. We derive this barotropic equation of state under the assumption that the matter content of f(R,T) gravity is modeled by a barotropic perfect fluid. We also examine the way in which these soliton structures both reveal and limit the underlying symmetries of the spacetime geometry. Furthermore, we obtain modified Poisson and Liouville equations associated with these solitons in such a gravitational setting. Additionally, we explore certain harmonic aspects of the h-almost conformal η-Ricci–Bourguignon soliton on a spacetime filled with a barotropic perfect fluid, considering a harmonic potential function Ψ. Finally, we present physical interpretations of the conformal pressure p˜ in the context of the h-almost conformal η-Ricci–Bourguignon soliton within f(R,T) gravity.

Source: Symmetry

DOI: 10.3390/sym17111794

Authors: Sunil Kumar Yadav, Sameh Shenawy, Hanan Alohali, Carlo Mantica

Institutions: Modern Academy for Engineering and Technology, King Saud University, University of Milan, Istituto Nazionale di Fisica Nucleare, Sezione di Milano

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: King Saud University