Scalar hair from a derivative coupling of a scalar field to the Einstein tensor
Scalar hair from a derivative coupling of a scalar field to the Einstein tensor
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DOI：
10.1088/0264-9381/29/20/205011
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发表时间：
2011-11
影响因子：
3.5
通讯作者：
Theodoros Kolyvaris;G. Koutsoumbas;E. Papantonopoulos;G. Siopsis
中科院分区：
文献类型：
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作者：
Theodoros Kolyvaris;G. Koutsoumbas;E. Papantonopoulos;G. Siopsis
考虑一个由电磁场和标量场耦合到爱因斯坦张量的引力系统，该引力系统的宇宙常数为零。一个Reissner-Nordström黑洞在我们计算的某个临界温度下经历了一个二级相变，变成一个具有一般各向异性头发的多毛黑洞。由于标量场与爱因斯坦张量之间的耦合，避免了无毛定理。在一阶微扰方法中，我们明确地计算了临界温度附近的多毛黑洞配置的性质，并表明它在能量上优于相应的Reissner-Nordström黑洞。
We consider a gravitating system of vanishing cosmological constant consisting of an electromagnetic field and a scalar field coupled to the Einstein tensor. A Reissner–Nordström black hole undergoes a second-order phase transition to a hairy black hole of generally anisotropic hair at a certain critical temperature which we compute. The no-hair theorem is evaded due to the coupling between the scalar field and the Einstein tensor. Within a first-order perturbative approach, we calculate explicitly the properties of a hairy black hole configuration near the critical temperature and show that it is energetically favourable over the corresponding Reissner–Nordström black hole.