Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916780155338752 |
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| author | Pereira, Carlos F. S. Silva, Marcos V. de S. Belich, H. Rodrigues, Denis C. Fabris, Júlio C. Rodrigues, Manuel E. |
| author_facet | Pereira, Carlos F. S. Silva, Marcos V. de S. Belich, H. Rodrigues, Denis C. Fabris, Júlio C. Rodrigues, Manuel E. |
| contents | In the present study, we analyze the effects of violation of Lorentz symmetry for black-bounce solutions in a $k$-essence theory that has the form of a power law for the configuration $n=1/3$. We perform such analysis for a known model explored in previous work $Σ^2=x^2+a^2$ and complement the proposal with a new black-bounce model for the area functions $Σ^2_1=\sqrt{x^4+d^4}$. This model has the Schwarzschild-de Sitter asymptomatic behavior for $x\to{-\infty}$, and we investigate the scalar field, potential, and energy conditions for both models. We have shown that the violation of Lorentz symmetry can be generated through $k$-essence without the need for an additional field. These results corroborate the validation of other previously investigated wormhole solutions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_09920 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity Pereira, Carlos F. S. Silva, Marcos V. de S. Belich, H. Rodrigues, Denis C. Fabris, Júlio C. Rodrigues, Manuel E. General Relativity and Quantum Cosmology In the present study, we analyze the effects of violation of Lorentz symmetry for black-bounce solutions in a $k$-essence theory that has the form of a power law for the configuration $n=1/3$. We perform such analysis for a known model explored in previous work $Σ^2=x^2+a^2$ and complement the proposal with a new black-bounce model for the area functions $Σ^2_1=\sqrt{x^4+d^4}$. This model has the Schwarzschild-de Sitter asymptomatic behavior for $x\to{-\infty}$, and we investigate the scalar field, potential, and energy conditions for both models. We have shown that the violation of Lorentz symmetry can be generated through $k$-essence without the need for an additional field. These results corroborate the validation of other previously investigated wormhole solutions. |
| title | Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2503.09920 |