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Non-singular vortices with positive mass in 2+1-dimensional Einstein gravity with AdS3 and Minkowski background
- Source :
- Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-24 (2021), Journal of High Energy Physics
- Publication Year :
- 2021
- Publisher :
- SpringerOpen, 2021.
-
Abstract
- In previous work, black hole vortex solutions in Einstein gravity with AdS$_3$ background were found where the scalar matter profile had a singularity at the origin $r=0$. In this paper, we find numerically static vortex solutions where the scalar and gauge fields have a non-singular profile under Einstein gravity in an AdS$_3$ background. Vortices with different winding numbers $n$, VEV $v$ and cosmological constant $\Lambda$ are obtained. These vortices have positive mass and are not BTZ black holes as they have no event horizon. The mass is determined in two ways: by subtracting the numerical values of two separate asymptotic metrics and via an integral that is purely over the matter fields. The mass of the vortex increases as the cosmological constant becomes more negative and this coincides with the core of the vortex becoming smaller (compressed). We then consider the vortex with gravity in asymptotically flat spacetime for different values of the coupling $\alpha=1/(16 \pi G)$. At the origin, the spacetime has its highest curvature and there is no singularity. It transitions to an asymptotic conical spacetime with angular deficit that increases significantly as $\alpha$ decreases. For comparison, we also consider the vortex without gravity in flat spacetime. For this case, one cannot obtain the mass by the first method (subtracting two metrics) but remarkably, via a limiting procedure, one can obtain an integral mass formula. In the absence of gauge fields, there is a well-known logarithmic divergence in the energy of the vortex. With gravity, we present this divergence in a new light. We show that the metric acquires a logarithmic term which is the $2+1$ dimensional realization of the Newtonian gravitational potential when General Relativity is supplemented with a scalar field. This opens up novel possibilities which we discuss in the conclusion.<br />Comment: 30 pages, 9 figures, 2 tables. v2: added footnotes, published in JHEP
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
General relativity
Event horizon
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc)
Cosmological constant
01 natural sciences
General Relativity and Quantum Cosmology
Gravitational potential
0103 physical sciences
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
010306 general physics
Asymptotically flat spacetime
Mathematical physics
Physics
010308 nuclear & particles physics
Computer Science::Information Retrieval
Solitons Monopoles and Instantons
Spontaneous Symmetry Breaking
Vortex
Black hole
High Energy Physics - Theory (hep-th)
lcsh:QC770-798
Scalar field
Classical Theories of Gravity
Subjects
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2021
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....9736abdb86c8caaf01b6b212da031351