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arXiv 1802.05955gr-qc
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考虑辐射流体的修正Gauss-Bonnet引力

Modified Gauss-Bonnet Gravity with Radiating Fluids

M. Farasat Shamir, M. Awais Sadiq

摘要:

本文的主要目的是研究$f(\mathcal{G}, T)$引力背景下的结构标量,其中$\mathcal{G}$是Gauss-Bonnet不变量,$T$是应力能量张量的迹.为此,我们考虑了球对称时空和耗散各向异性流体耦合辐射和热喷射剪切物质分布。我们通过正交分解$f(\mathcal{G}, T)$引力中的黎曼曲率张量找到了这些标量变量。利用这些标量函数建立了剪切和膨胀的演化方程。我们还用常数$\mathcal{G}$和$T$分析了这些标量。在修正引力的存在下,研究了辐射物质分布的结构标量的物理行为。结果表明,相对论恒星结构的演化阶段可以通过修改标量函数来探索。

英文摘要:

The main purpose of this paper is to investigates structure scalars in the context of $f(\mathcal{G}, T)$ gravity, where $\mathcal{G}$ is the Gauss-Bonnet invariant and $T$ is the trace of stress energy tensor. For this aim, we have considered the spherically symmetric spacetime and dissipative anisotropic fluid coupled with radiation and heat ejecting shearing matter distributions. We have found these scalar variables by orthogonally decomposing the Riemann curvature tensor in $f(\mathcal{G}, T)$ gravity. Moreover, the evolution equations of shear and expansion are also developed with the help of these scalar functions. We have also analyzed these scalars by taking constant $\mathcal{G}$ and $T$ for dust cloud. The physical behavior of structure scalars for radiating matter distributions has been examined in the presence of modified gravity. It is shown that the evolutionary stages of relativistic stellar structures can be explored via modified scalar functions.

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