Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss–Bonnet gravity

Abstract

We study scalarization of spherically symmetric neutral reflecting shells in the scalar-tensor gravity. We consider neutral static massless scalar fields non-minimally coupled to the Gauss-Bonnet invariant. We obtain a relation representing the existence regime of hairy neutral reflecting shells.For parameters unsatisfying this relation, the massless scalar field cannot exist outside the neutral reflecting shell. In the parameter region where this relation holds, we get analytical solutions of scalar field hairs outside neutral reflecting shells.

Analytical investigations on non-minimally coupled scalar fields outside neutral reflecting shells

“…In particular, Hod derived a remarkably compact resonance formula for the allowed masses of the spatially regular scalar fields supported by charged shell configurations. In the background of neutral horizonless reflecting shells, exterior scalar fields also can exist when including non-minimally couplings between scalar fields and the Gauss-Bonnet invariant [36]. Inspired by analysis in [35], we plan to carry out an analytical investigation on configurations composed of scalar fields and neutral reflecting shells in the scalar-Gauss-Bonnet gravity.…”

Validity of thermodynamic laws and weak cosmic censorship for AdS black holes and black holes in a cavity *

“…It was found that the Schwarzschild and RN black holes in a cavity have quite similar phase structure and transition to these of the AdS counterparts. Afterwards, various black brane systems [78][79][80][81][82][83], a Gauss-Bonnet black hole [84], hairy black holes [85][86][87][88], and boson stars [89][90][91][92] in a cavity were extensively investigated, and it was also shown that the behavior of the gravity systems in a cavity is strikingly similar to that of their counterparts in AdS gravity. However, we have recently studied the phase structure of Born-Infeld black holes enclosed in a cavity [93,94] and thermodynamic geometry of RN black holes in a cavity [95] and found their behavior is dissimilar from that of the corresponding AdS black holes.…”