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Wormholes Within the Framework of \(f(R, T)=R+\alpha R^2+\lambda T\) Gravity

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Abstract

In this work, we explore modeling of wormholes in framework of f(R, T) gravity with the functional form \(f(R, T)= R+\alpha R^2 +\lambda T\), where R and T are the Ricci scalar and trace of energy-momentum tensor respectively, \(\alpha\) and \(\lambda\) are arbitrary constants. Using the equation of state (EoS) \(p_r=\omega \rho\) and shape function \(b(r)= {\frac{r_{{0}}{a}^{r}}{{a}^{r_{{0}}}}},\, (0< a < 1)\) wormhole solutions are obtained, which obey the necessary metric conditions. The energy conditions are discussed and anisotropy parameter is analyzed. In this framework, quadratic geometric term and linear matter corrections make the wormhole’s matter substance remarkably capable of obeying the energy conditions.

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Acknowledgements

The author U. K. Sharma thanks the IUCAA, Pune, India for awarding the visiting associateship. The authors are also very much thankful to the learned referee for his/her constructive suggestions which helped to improve the quality of paper in present form.

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  1. Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura, Uttar Pradesh, 281 406, India

    Umesh Kumar Sharma & Ambuj Kumar Mishra

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  1. Umesh Kumar Sharma
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Correspondence to Ambuj Kumar Mishra.

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Sharma, U.K., Mishra, A.K. Wormholes Within the Framework of \(f(R, T)=R+\alpha R^2+\lambda T\) Gravity. Found Phys 51, 50 (2021). https://doi.org/10.1007/s10701-021-00457-6

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