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arXiv 1608.04836gr-qchep-th
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$f(R)$引力场中无质量标量场的引力坍缩

Gravitational collapse of massless scalar field in $f(R)$ gravity

Cheng-Yong Zhang, Zi-Yu Tang, Bin Wang

摘要:

研究了$f(R)$引力场中渐近平坦时空中无质量标量物质场的球对称引力坍缩。在$f(R)$引力的Einstein框架中,由于保角变换,产生了一个额外的标量场。我们发现,除了引力坍缩过程中引力能和动能之间通常的竞争外,由共形变换带来的新的标量场在动力学系统中又增加了一个竞争力。通过调节新的标量场和物质场的初始微扰的振幅,可以控制动力学竞争。为了理解这些现象背后的物理原因,我们分析了引力势的行为,并计算了中心Ricci标量随初始扰动振幅的变化。在$f(R)$引力中,我们发现了关于黑洞通过引力坍缩形成的丰富物理学。

英文摘要:

We study the spherically symmetric gravitational collapse of massless scalar matter field in asymptotic flat spacetime in $f(R)$ gravity. In the Einstein frame of $f(R)$ gravity, an additional scalar field arises due to the conformal transformation. We find that besides the usual competition between gravitational energy and kinetic energy in the process of gravitational collapse, the new scalar field brought by the conformal transformation adds one more competing force in the dynamical system. The dynamical competition can be controlled by tuning the amplitudes of the initial perturbations of the new scalar field and the matter field. To understand the physical reasons behind these phenomena, we analyze the gravitational potential behavior and calculate the Ricci scalar at center with the change of initial amplitudes of perturbations. We find rich physics on the formation of black holes through gravitational collapse in $f(R)$ gravity.

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。

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