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Wormholes Within the Framework of $$f(R, T)=R+\alpha R^2+\lambda T$$ f ( R , T ) = R + α R 2 + λ T Gravity
Foundations of Physics ( IF 1.2 ) Pub Date : 2021-04-10 , DOI: 10.1007/s10701-021-00457-6
Umesh Kumar Sharma , Ambuj Kumar Mishra

In this work, we explore modeling of wormholes in framework of f(RT) 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.



中文翻译:

$$ f(R,T)= R + \ alpha R ^ 2 + \ lambda T $$ f(R,T)= R +αR 2 +λT重力框架内的虫洞

在这项工作中,我们探索在fR,  T)重力框架下以函数形式\(f(R,T)= R + \ alpha R ^ 2 + \ lambda T \)构造虫洞的模型,其中RT为Ricci标量和能量动量张量的迹线\(\ alpha \)\(\ lambda \)是任意常数。使用状态方程(EoS)\(p_r = \ omega \ rho \)和形状函数\(b(r)= {\ frac {r _ {{0}} {a} ^ {r}} {{a} ^ {r _ {{{0}}}}},\,(0 <a <1)\)获得符合必要度量条件的虫洞解决方案。讨论了能量条件并分析了各向异性参数。在此框架中,二次几何项和线性物质校正使虫洞的物质明显具有服从能量条件的能力。

更新日期:2021-04-11
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