The cosmological term as a source of mass

By Irina Dymnikova. 2001

229 citations recorded by the source corpus.

In the spherically symmetric case, the dominant energy condition, together with the requirement of regularity at the centre, asymptotic flatness and finiteness of the ADM mass, defines the family of asymptotically flat globally regular solutions to the Einstein equations which includes the class of metrics asymptotically de Sitter as r ? 0. The source term corresponds to an r-dependent cosmological term ??? invariant under boosts in the radial direction and evolving from the de Sitter vacuum ?g?? in the origin to the Minkowski vacuum at infinity. The ADM mass is related to a cosmological term by m = (2G)?1?0??ttr2 dr, with the de Sitter vacuum replacing a central singularity at the scale of symmetry restoration. Spacetime symmetry changes smoothly from the de Sitter group near the centre to the Lorentz group at infinity through radial boosts in between. In the range of masses m ? mcrit, de Sitter?Schwarzschild geometry describes a vacuum nonsingular black hole (?BH), and for m < mcrit, it describes a G-lump?a vacuum self-gravitating particle-like structure without horizons. The quantum energy spectrum of the G-lump is shifted down by the binding energy and zero-point vacuum mode is fixed at the value corresponding (up to the coefficient) to the Hawking temperature from the de Sitter horizon.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bdce32052ce00097c07f52c68fc3f0f7887eff3d

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Citations in the corpus

On the viability of regular black holes (2018, background): “Under the dominant energy condition, the regularity of the effective energy density also implies the regularity of the effective pressures [20].”
Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources (2008, background): “It can be agreed to a great extent that, as very briefly, but precisely, noted in [34] (footnote on page 738), this may seem a rather philosophical distinction between a vacuum spacetime and a spacetime filled with vacuum; on the other hand, we would like to stress a related physical point of view i”