arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1409.2371gr-qchep-th
收藏

在f(R)引力中坍缩的球形星

Collapsing spherical stars in f(R) gravity

Rituparno Goswami, Anne Marie Nzioki, Sunil. D. Maharaj, Sushant G. Ghosh

摘要:

我们对大质量恒星在f(R)引力作用下物理上真实的引力坍缩问题进行了仔细的研究。我们表明,在修改后的重力中出现的额外的匹配条件对恒星的结构和热力学性质施加了很强的约束。我们认为,这些限制是非物质的。证明了对于任意非线性函数f(R),具有非常数Ricci标量的齐次星都不能光滑地与静态外部匹配。因此,这些额外的限制使得广义相对论中物理上真实的坍缩场景在这些理论中是不可接受的。我们还找到了一个精确的解决方案,在Starobinski模型,服从所有的能量和匹配条件的非均匀坍缩星。然而,我们认为,这样的解决方案是微调和不稳定的物质扰动。对黑洞物理和宇宙监督猜想的可能后果也进行了讨论。

英文摘要:

We perform a careful investigation of the problem of physically realistic gravitational collapse of massive stars in f(R)-gravity. We show that the extra matching conditions that arise in the modified gravity imposes strong constraints on the stellar structure and thermodynamic properties. In our opinion these constraints are unphysical. We prove that no homogeneous stars with non-constant Ricci scalar can be matched smoothly with a static exterior for any nonlinear function f(R). Therefore, these extra constraints make classes of physically realistic collapse scenarios in general relativity, non-admissible in these theories. We also find an exact solution for an inhomogeneous collapsing star in the Starobinski model that obeys all the energy and matching conditions. However, we argue that such solutions are fine-tuned and unstable to matter perturbations. Possible consequences on black hole physics and the cosmic censorship conjecture are also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑