Stationary spacetimes with time-dependent real scalar fields

被引:5
作者
Franzin, Edgardo [1 ,2 ,3 ,4 ]
Smolic, Ivica [5 ]
机构
[1] Ctr Brasileiro Pesquisas Fis CBPF, Dept Astrophys Cosmol & Fundamental Interact COSM, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ, Brazil
[2] Scuola Int Super Studi Avanzati, SISSA, Via Bonomea 265, I-34136 Trieste, Italy
[3] Ist Nazl Fis Nucl, Sez Trieste, Via Valerio 2, I-34127 Trieste, Italy
[4] Inst Fundamental Phys Universe, IFPU, Via Beirut 2, I-34014 Trieste, Italy
[5] Univ Zagreb, Fac Sci, Dept Phys, Bijenicka Cesta 32, Zagreb 10000, Croatia
关键词
scalar fields; symmetry inheritance; Wyman's solution; KILLING VECTOR-FIELDS; EINSTEIN-MAXWELL; EQUATIONS; GRAVITATION; SYMMETRIES; MOTIONS;
D O I
10.1088/1361-6382/abf896
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In 1981 Wyman classified the solutions of the Einstein-Klein-Gordon equations with static spherically symmetric spacetime metric and vanishing scalar potential. For one of these classes, the scalar field linearly grows with time. We generalize this symmetry noninheriting solution, perturbatively, to a rotating one and extend the static solution exactly to arbitrary spacetime dimensions. Furthermore, we investigate the existence of nonminimally coupled, time-dependent real scalar fields on top of static black holes, and prove a no-hair theorem for stealth scalar fields on the Schwarzschild background.
引用
收藏
页数:15
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