Manjunath Malligawad - Academia.edu (original) (raw)

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Papers by Manjunath Malligawad

Research paper thumbnail of The Finslerian Wormhole model with <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>R</mi><mo separator="true">,</mo><mi>T</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">f(R, T)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathnormal" style="margin-right:0.00773em;">R</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">T</span><span class="mclose">)</span></span></span></span> gravity

arXiv (Cornell University), Feb 6, 2023

In this article, based on Finsler geometry, we study the wormhole model in f (R, T) = R + 2λ T gr... more In this article, based on Finsler geometry, we study the wormhole model in f (R, T) = R + 2λ T gravity theory with an exponential shape function. On the basis of this wormhole solution, we derive the gravitational field equations. Using the exponential shape function, we discuss the character of parameters such as density, radial pressure, transverse pressure, equation-of-state parameters, and energy conditions in f (R, T) gravity. We study the significant role of parameter λ in the violation of energy conditions and also in the equilibrium state of the Finslerian wormhole solution, which is caused by the anisotropic force and hydrostatic force in f (R, T) gravity. Further, we observe in the framework of Finslerian space-time that the f (R, T) gravity model successfully captures the features of wormholes. Further using these features we plotted and visualized the 3-D wormhole structure Fig. 2.

Research paper thumbnail of The Finslerian Wormhole model with <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>R</mi><mo separator="true">,</mo><mi>T</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">f(R, T)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathnormal" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathnormal" style="margin-right:0.00773em;">R</span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em;"></span><span class="mord mathnormal" style="margin-right:0.13889em;">T</span><span class="mclose">)</span></span></span></span> gravity

arXiv (Cornell University), Feb 6, 2023

In this article, based on Finsler geometry, we study the wormhole model in f (R, T) = R + 2λ T gr... more In this article, based on Finsler geometry, we study the wormhole model in f (R, T) = R + 2λ T gravity theory with an exponential shape function. On the basis of this wormhole solution, we derive the gravitational field equations. Using the exponential shape function, we discuss the character of parameters such as density, radial pressure, transverse pressure, equation-of-state parameters, and energy conditions in f (R, T) gravity. We study the significant role of parameter λ in the violation of energy conditions and also in the equilibrium state of the Finslerian wormhole solution, which is caused by the anisotropic force and hydrostatic force in f (R, T) gravity. Further, we observe in the framework of Finslerian space-time that the f (R, T) gravity model successfully captures the features of wormholes. Further using these features we plotted and visualized the 3-D wormhole structure Fig. 2.