共形耦合标量场诱导的排斥引力意味着一个弹跳的辐射主导宇宙
Repulsive gravity induced by a conformally coupled scalar field implies a bouncing radiation-dominated universe
摘要:
在目前的工作中,我们重新讨论了一个由一个具有四次自相互作用势的标量场与引力非最小(共形)耦合组成的模型[1]。当标量场真空处于对称性破缺状态时,出现了一个有效的引力常量,在某些情况下,当只有普通辐射与引力耦合时,它可以导致引力排斥效应。在这种情况下,当标量场处于这种对称破缺状态时,反弹宇宙是场方程唯一允许的宇宙学解。
英文摘要:
In the present work we revisit a model consisting of a scalar field with a quartic self-interaction potential non-minimally (conformally) coupled to gravity [1]. When the scalar field vacuum is in a broken symmetry state, an effective gravitational constant emerges which, in certain regimes, can lead to gravitational repulsive effects when only ordinary radiation is coupled to gravity. In this case, a bouncing universe is shown to be the only cosmological solution admissible by the field equations when the scalar field is in such a broken symmetry state.
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