Hairy Reissner-Nordstrom Black Holes with Asymmetric Vacua
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866914643372408832 |
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| author | Chew, Xiao Yan Yeom, Dong-han |
| author_facet | Chew, Xiao Yan Yeom, Dong-han |
| contents | We minimally coupled a scalar potential $V(ϕ)$ with asymmetric vacua to the Einstein gravity to numerically construct the hairy Reissner-Nordstrom black hole (RNBH) as a direct generalization of RNBHs to possess scalar hair. By fixing the electric charge to mass ratio $q$, a branch of hairy RNBHs bifurcates from the RNBH when the scalar field $ϕ_H$ is non-trivial at the horizon. The values of $q$ are bounded for $0 \leq q \leq 1$, which contrast to a class of hairy black holes with $q>1$ in the Einstein-Maxwell-scalar theory. We find that the profiles of solutions affected by the competition between the strength of $ϕ_H$ and $q$, for instance, the gradient of scalar field at the horizon can increase very sharply when $q \rightarrow 1$ and $ϕ_H$ is small but its gradient can be very small which independent of $q$ when $ϕ_H$ is large. Furthermore, the weak energy condition of hairy RNBHs, particularly at the horizon can be satisfied when $q>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09039 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hairy Reissner-Nordstrom Black Holes with Asymmetric Vacua Chew, Xiao Yan Yeom, Dong-han General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics We minimally coupled a scalar potential $V(ϕ)$ with asymmetric vacua to the Einstein gravity to numerically construct the hairy Reissner-Nordstrom black hole (RNBH) as a direct generalization of RNBHs to possess scalar hair. By fixing the electric charge to mass ratio $q$, a branch of hairy RNBHs bifurcates from the RNBH when the scalar field $ϕ_H$ is non-trivial at the horizon. The values of $q$ are bounded for $0 \leq q \leq 1$, which contrast to a class of hairy black holes with $q>1$ in the Einstein-Maxwell-scalar theory. We find that the profiles of solutions affected by the competition between the strength of $ϕ_H$ and $q$, for instance, the gradient of scalar field at the horizon can increase very sharply when $q \rightarrow 1$ and $ϕ_H$ is small but its gradient can be very small which independent of $q$ when $ϕ_H$ is large. Furthermore, the weak energy condition of hairy RNBHs, particularly at the horizon can be satisfied when $q>0$. |
| title | Hairy Reissner-Nordstrom Black Holes with Asymmetric Vacua |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2401.09039 |