Study of exponential wormhole metric in $f(R)$ gravity

Partha Pratim Nath; Debojit Sarma

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arXiv · 2307.04237

Study of exponential wormhole metric in $f(R)$ gravity

Partha Pratim Nath·Debojit Sarma

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Abstract

In this work, we have studied an "exponential form" of spacetime metric: \begin{equation*} ds^2 = -e^{-\frac{2m}{r}}dt^2 +e^{\frac{2m}{r}}dr^2 + e^{\frac{2m}{r}}[r^2 d\theta^2 + r^2 \sin^2\theta d\phi^2] \end{equation*} in some of the viable $f(R)$ gravity models, viz. exponential gravity model, Starobinsky gravity model, Tsujikawa model and Gogoi-Goswami f(R) gravity model. Here we have calculated the parameters including energy density, tangential and radial pressure for these corresponding models of $f(R)$ gravity. Subsequently we have investigated the energy conditions viz. null energy condition(NEC), weak energy condition(WEC) and strong energy condition(SEC) for the considered models. We have also explained the suitable conditions of energy for these models by related plots.

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Partha Pratim Nath, Debojit Sarma. 2023-07-09. Study of exponential wormhole metric in $f(R)$ gravity. https://arxiv.org/abs/2307.04237

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