Stable, thin wall, negative mass bubbles in de Sitter spacetime
Abstract
Negative mass makes perfect physical sense as long as the dominant energy condition is satisfied by the corresponding energymomentum tensor. Heretofore, only configurations of negative mass had been found (Belletête and Paranjape in Int J Mod Phys D 22:1341017, 2013; Mbarek and Paranjape in Phys Rev D 90:101502, 2014), the analysis did not address stability or dynamics. In this paper, we analyze both of these criteria. We demonstrate the existence of stable, static, negative mass bubbles in an asymptotically de Sitter spacetime. The bubbles are solutions of the Einstein equations and correspond to an interior region of spacetime containing a specific mass distribution, separated by a thin wall from the exact, negative mass Schwarzschildde Sitter spacetime in the exterior. We apply the Israel junction conditions at the wall. For the case of an interior corresponding simply to de Sitter spacetime with a different cosmological constant from the outside spacetime, separated by a thin wall with energy density that is independent of the radius, we find static but unstable solutions which satisfy the dominant energy condition everywhere. The bubbles can collapse through spherically symmetric configurations to the exact, singular, negative mass Schwarzschildde Sitter solution. Interestingly, this provides a counterexample of the cosmic censorship hypothesis. Alternatively, the junction conditions can be used to give rise to an interior mass distribution that depends on the potential for the radius of the wall. We show that for no choice of the potential, for positive energy density on the wall that is independent of the radius, can we get a solution that is nonsingular at the origin. However, if we allow the energy density on the wall to depend on the radius of the bubble, we can find stable, static, nonsingular solutions of negative mass which everywhere satisfy the dominant energy condition.
 Publication:

General Relativity and Gravitation
 Pub Date:
 August 2020
 DOI:
 10.1007/s10714020027329
 arXiv:
 arXiv:1910.01774
 Bibcode:
 2020GReGr..52...80J
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 12 pages, 9 figures, minor changes