Nonsingular, lump-like, scalar compact objects in $(2+1)$-dimensional Einstein gravity
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| author | Maluf, Roberto V. Mora-Pérez, Gerardo Olmo, Gonzalo J. Rubiera-Garcia, Diego |
| author_facet | Maluf, Roberto V. Mora-Pérez, Gerardo Olmo, Gonzalo J. Rubiera-Garcia, Diego |
| contents | We study the space-time geometry generated by coupling a free scalar field with a non-canonical kinetic term to General Relativity in $(2+1)$ dimensions. After identifying a family of scalar Lagrangians that yield exact analytical solutions in static and circularly symmetric scenarios, we classify the various types of solutions and focus on a branch that yields asymptotically flat geometries. We show that the solutions within such a branch can be divided in two types, namely, naked singularities and nonsingular objects without a center. In the latter, the energy density is localized around a maximum and vanishes only at infinity and at an inner boundary. This boundary has vanishing curvatures and cannot be reached by any time-like or null geodesic in finite affine time. This allows us to consistently interpret such solutions as nonsingular, lump-like, static compact scalar objects, whose eventual extension to the $(3+1)$-dimensional context could provide structures of astrophysical interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14881 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonsingular, lump-like, scalar compact objects in $(2+1)$-dimensional Einstein gravity Maluf, Roberto V. Mora-Pérez, Gerardo Olmo, Gonzalo J. Rubiera-Garcia, Diego General Relativity and Quantum Cosmology We study the space-time geometry generated by coupling a free scalar field with a non-canonical kinetic term to General Relativity in $(2+1)$ dimensions. After identifying a family of scalar Lagrangians that yield exact analytical solutions in static and circularly symmetric scenarios, we classify the various types of solutions and focus on a branch that yields asymptotically flat geometries. We show that the solutions within such a branch can be divided in two types, namely, naked singularities and nonsingular objects without a center. In the latter, the energy density is localized around a maximum and vanishes only at infinity and at an inner boundary. This boundary has vanishing curvatures and cannot be reached by any time-like or null geodesic in finite affine time. This allows us to consistently interpret such solutions as nonsingular, lump-like, static compact scalar objects, whose eventual extension to the $(3+1)$-dimensional context could provide structures of astrophysical interest. |
| title | Nonsingular, lump-like, scalar compact objects in $(2+1)$-dimensional Einstein gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2404.14881 |