On some new black hole, wormhole and naked singularity solutions in the free Dirac–Born–Infeld theory

Abstract In this paper, we present some new static and spherically symmetric solutions of the Einstein equation in which the matter sector is accounted for by a free Dirac–Born–Infeld field. Our novel spacetimes can describe either a black hole, a wormhole, or a naked singularity depending on certai...

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Main Author: Daniele Gregoris
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12229-9
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author Daniele Gregoris
author_facet Daniele Gregoris
author_sort Daniele Gregoris
collection DOAJ
description Abstract In this paper, we present some new static and spherically symmetric solutions of the Einstein equation in which the matter sector is accounted for by a free Dirac–Born–Infeld field. Our novel spacetimes can describe either a black hole, a wormhole, or a naked singularity depending on certain boundary conditions. By tracking the dynamical gravitational collapse, we enlighten the importance of the isotropy of the pressure for having an horizon as a result, as required by the Cosmic Censorship Conjecture. Our new spacetime solutions, the amount of exotic matter, its “complexity”, and the equation of state along the tangential direction are analytical and written in closed forms. We identify a taming of the breaking of the null energy condition, customary for wormhole spacetimes in General Relativity, along both the radial and tangential direction. We assess the astrophysical applicability and perform a comparative analysis between our solutions and other literature ones, by identifying an ISO-like density profile of the matter field, which provides a flattening of the rotation curves, by discussing the motion of test particles, and the shadow properties. In our model, those effects are interpreted as a manifestation of a topological defect, and since they can observationally mimic the signatures of other spacetimes, a study of the perturbations is performed within the quasi-normal modes formalism. Having identified the Reissner–Nordström-like quasi-resonance, our paper is intended also to provide some insights on which combinations of background and perturbation properties should be observed, for claiming the nature of astrophysical compact objects.
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spelling doaj.art-458e1d5407fb4f03aa313e597baa0a302024-03-31T11:30:40ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-11-01831111510.1140/epjc/s10052-023-12229-9On some new black hole, wormhole and naked singularity solutions in the free Dirac–Born–Infeld theoryDaniele Gregoris0School of Science, Jiangsu University of Science and TechnologyAbstract In this paper, we present some new static and spherically symmetric solutions of the Einstein equation in which the matter sector is accounted for by a free Dirac–Born–Infeld field. Our novel spacetimes can describe either a black hole, a wormhole, or a naked singularity depending on certain boundary conditions. By tracking the dynamical gravitational collapse, we enlighten the importance of the isotropy of the pressure for having an horizon as a result, as required by the Cosmic Censorship Conjecture. Our new spacetime solutions, the amount of exotic matter, its “complexity”, and the equation of state along the tangential direction are analytical and written in closed forms. We identify a taming of the breaking of the null energy condition, customary for wormhole spacetimes in General Relativity, along both the radial and tangential direction. We assess the astrophysical applicability and perform a comparative analysis between our solutions and other literature ones, by identifying an ISO-like density profile of the matter field, which provides a flattening of the rotation curves, by discussing the motion of test particles, and the shadow properties. In our model, those effects are interpreted as a manifestation of a topological defect, and since they can observationally mimic the signatures of other spacetimes, a study of the perturbations is performed within the quasi-normal modes formalism. Having identified the Reissner–Nordström-like quasi-resonance, our paper is intended also to provide some insights on which combinations of background and perturbation properties should be observed, for claiming the nature of astrophysical compact objects.https://doi.org/10.1140/epjc/s10052-023-12229-9
spellingShingle Daniele Gregoris
On some new black hole, wormhole and naked singularity solutions in the free Dirac–Born–Infeld theory
European Physical Journal C: Particles and Fields
title On some new black hole, wormhole and naked singularity solutions in the free Dirac–Born–Infeld theory
title_full On some new black hole, wormhole and naked singularity solutions in the free Dirac–Born–Infeld theory
title_fullStr On some new black hole, wormhole and naked singularity solutions in the free Dirac–Born–Infeld theory
title_full_unstemmed On some new black hole, wormhole and naked singularity solutions in the free Dirac–Born–Infeld theory
title_short On some new black hole, wormhole and naked singularity solutions in the free Dirac–Born–Infeld theory
title_sort on some new black hole wormhole and naked singularity solutions in the free dirac born infeld theory
url https://doi.org/10.1140/epjc/s10052-023-12229-9
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