Black holes and regular black holes in coincident $f(\mathbb{Q},\mathbb{B}_Q)$ gravity coupled to nonlinear electrodynamics
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| author | Junior, José Tarciso S. S. Lobo, Francisco S. N. Rodrigues, Manuel E. |
| author_facet | Junior, José Tarciso S. S. Lobo, Francisco S. N. Rodrigues, Manuel E. |
| contents | In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, $f(\mathbb{Q})$ gravity, by including a boundary term $\mathbb{B}_Q$, where $\mathbb{Q}$ is the non-metricity scalar. More specifically, we explore static and spherically symmetric black hole and regular black hole solutions in $f(\mathbb{Q},\mathbb{B}_Q)$ gravity coupled to nonlinear electrodynamics (NLED). In particular, to obtain black hole solutions, and in order to ensure that our solutions preserve Lorentz symmetry, we assume the following relation $f_Q = -f_B$, where $f_{Q}=\partial f/\partial\mathbb{Q}$ and $f_{B}= \partial f/\partial\mathbb{B}_Q$. We develop three models of black holes, and as the starting point for each case we consider the non-metricity scalar or the boundary term in such a way to obtain the metric functions $A(r)$. Additionally, we are able to express matter through analytical solutions for specific NLED Lagrangians ${\cal L}_{\rm NLED}(F)$. Furthermore, we also obtain generalized solutions of the Bardeen and Culetu types of regular black holes, by imposing specific metric functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02534 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Black holes and regular black holes in coincident $f(\mathbb{Q},\mathbb{B}_Q)$ gravity coupled to nonlinear electrodynamics Junior, José Tarciso S. S. Lobo, Francisco S. N. Rodrigues, Manuel E. General Relativity and Quantum Cosmology High Energy Physics - Theory In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, $f(\mathbb{Q})$ gravity, by including a boundary term $\mathbb{B}_Q$, where $\mathbb{Q}$ is the non-metricity scalar. More specifically, we explore static and spherically symmetric black hole and regular black hole solutions in $f(\mathbb{Q},\mathbb{B}_Q)$ gravity coupled to nonlinear electrodynamics (NLED). In particular, to obtain black hole solutions, and in order to ensure that our solutions preserve Lorentz symmetry, we assume the following relation $f_Q = -f_B$, where $f_{Q}=\partial f/\partial\mathbb{Q}$ and $f_{B}= \partial f/\partial\mathbb{B}_Q$. We develop three models of black holes, and as the starting point for each case we consider the non-metricity scalar or the boundary term in such a way to obtain the metric functions $A(r)$. Additionally, we are able to express matter through analytical solutions for specific NLED Lagrangians ${\cal L}_{\rm NLED}(F)$. Furthermore, we also obtain generalized solutions of the Bardeen and Culetu types of regular black holes, by imposing specific metric functions. |
| title | Black holes and regular black holes in coincident $f(\mathbb{Q},\mathbb{B}_Q)$ gravity coupled to nonlinear electrodynamics |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.02534 |