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arXiv 1312.0705gr-qcastro-ph.SRhep-th
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Eddington启发的Born-Infeld引力中的恒星表面物理学

Physics at the surface of a star in Eddington-inspired Born-Infeld gravity

Hyeong-Chan Kim

摘要:

我们研究的现象发生在一个恒星的表面在爱丁顿启发Born-Infeld(EiBI)引力。恒星是由粒子组成的,这些粒子可以用多方流体有效地描述。众所周知,EiBI理论有一种病态,即奇点发生在恒星表面。我们认为粒子的引力反作用解决了这个问题。奇点附近的强潮汐力会改变粒子的有效状态方程,或者使表面不稳定,这取决于表面的物质含量。测地线偏差方程遵循胡克定律,其中其频率平方与表面处的标量曲率成比例。对于正曲率,粒子更频繁地与探测壁碰撞并增加压力。随着压力的增加,表面不再是奇异的。对于负曲率,表面周围的物质经历具有无限加速度的排斥。因此,EiBI重力从表面奇异性的病理学中被保存。

英文摘要:

We study phenomena happening at the surface of a star in Eddington-inspired Born-Infeld (EiBI) gravity. The star is made of particles, which are effectively described by a polytropic fluid. The EiBI theory was known to have a pathology that singularities happen at a star surface. We suggest that the gravitational back-reaction on the particles cures the problem. Strong tidal forces near the (surface) singularity modify the effective equation of state of the particles or make the surface be unstable depending on its matter contents. The geodesic deviation equations take after the Hooke's law, where its frequency-squared is proportional to the scalar curvature at the surface. For a positive curvature, a particle collides with a probing wall more often and increases the pressure. With the increased pressure, the surface is no longer singular. For a negative curvature, the matters around the surface experience repulsions with infinite accelerations. Therefore, the EiBI gravity is saved from the pathology of surface singularity.

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