论文标题

改性重力理论中的最大力量

Maximum Force in Modified Gravity Theories

论文作者

Barrow, John D., Dadhich, Naresh

论文摘要

我们研究了两个黑洞与接触范围之间结合的经典最大力的存在和性质。 Besides general relativity, the maximum force bound is independent of black hole masses only in Moffat's theory, Brans Dicke theory (which is the same as Einstein's for vacuum) and the higher dimensional generalization of Einstein's theory, pure Lovelock gravity which is characterised by having single $n$th order term in Lovelock polynomial without sum over lower orders in the action.此外,如果结合在较高的维度中存在,并且完全按照光的速度和重力常数,则它具有纯粹的lovelock重力。在纯Lovelock重力中,所有$ 3N $ - 空间尺寸都存在的最大力量绑定,并具有$ C^4/4G_N $的值,其中$ g_n $是相应的重力常数。在最大力结合中缺乏质量依赖性可能与裸奇异点的形成相关。

We investigate the existence and nature of classical maximum force bound between two black holes with touching horizons. Besides general relativity, the maximum force bound is independent of black hole masses only in Moffat's theory, Brans Dicke theory (which is the same as Einstein's for vacuum) and the higher dimensional generalization of Einstein's theory, pure Lovelock gravity which is characterised by having single $n$th order term in Lovelock polynomial without sum over lower orders in the action. Further if the bound is to exist in higher dimensions and is entirely in terms of the velocity of light and the gravitational constant, it has uniquely to be pure Lovelock gravity. In pure Lovelock gravity, the maximum force bound exists in all $3n$-space dimensions and has the value, $c^4/4G_n$ where $G_n$ is the corresponding gravitational constant. The absence of mass dependence in the maximum force bound may have relevance for the formation of naked singularities.

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