Some specific wormhole solutions in <i>f</i> ( <i>R</i> , <i>T</i> ) gravity
M. Ilyas, A. R. Athar
Abstract
Abstract In this research, we considered a specific model in the framework of f ( R , T ) gravity to investigate the feasibility of wormhole geometries coupled with the relativistic configurations of matter, where T stands for the trace of the energy-momentum tensor. In order to evaluate this, we examine different energy conditions (ECs) by considering static space-time geometry which is spherically symmetric and by supposing a specific matter configuration and sequence of shape functions ( β ( r )). We analyzed wormhole models in the background of the equilibrium state by using an anisotropic fluid, and then presented our findings in a graphical format. The quantities of extra curvature generated by f ( R , T ) gravity could be understood as a gravitational entity that supports these astrophysical wormhole scenarios, which are non-standard. Our results suggest that, for certain zones in the parameters space, wormholes could arise in the presence of isotropic fluid and a conservative modification of GR as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>f</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>R</mml:mi> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mo>=</mml:mo> <mml:mi>R</mml:mi> <mml:mo>+</mml:mo> <mml:mi>α</mml:mi> <mml:mi>γ</mml:mi> <mml:mfenced close="]" open="["> <mml:mrow> <mml:msup> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mstyle displaystyle="false"> <mml:mfrac> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>γ</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:mfrac> </mml:mstyle> </mml:mrow> </mml:mfenced> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mi>q</mml:mi> </mml:mrow> </mml:msup> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:mfenced> <mml:mo>+</mml:mo> <mml:mi>λ</mml:mi> <mml:mi>T</mml:mi> </mml:math> , without requiring exotic matter.