Phase Structure of Scalarized Black Holes in Einstein-Scalar-Gauss-Bonnet Gravity
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917361169203200 |
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| author | Herdeiro, Carlos Huang, Hyat Kunz, Jutta Lai, Meng-Yun Radu, Eugen Zou, De-Cheng |
| author_facet | Herdeiro, Carlos Huang, Hyat Kunz, Jutta Lai, Meng-Yun Radu, Eugen Zou, De-Cheng |
| contents | We revisit scalarized black holes in Einstein-scalar-Gauss-Bonnet gravity and analyze the thermodynamic phase transition between the Schwarzschild solution of general relativity and scalarized black holes. Restricting to spherically symmetric configurations, we investigate several classes of scalar-Gauss-Bonnet coupling functions. For the simplest quadratic coupling that triggers spontaneous scalarization, the scalarized solutions are thermodynamically disfavored and no phase transition occurs. For an exponential coupling, the phase structure depends strongly on the coupling parameter, allowing for the absence of a transition, a continuous second-order transition, or a discontinuous first-order transition. For couplings leading to purely nonlinear scalarization, we find either a first-order transition or no transition. These results reveal a rich phase structure of scalarized black holes controlled by the scalar-Gauss-Bonnet coupling. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_24164 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Phase Structure of Scalarized Black Holes in Einstein-Scalar-Gauss-Bonnet Gravity Herdeiro, Carlos Huang, Hyat Kunz, Jutta Lai, Meng-Yun Radu, Eugen Zou, De-Cheng General Relativity and Quantum Cosmology High Energy Physics - Theory We revisit scalarized black holes in Einstein-scalar-Gauss-Bonnet gravity and analyze the thermodynamic phase transition between the Schwarzschild solution of general relativity and scalarized black holes. Restricting to spherically symmetric configurations, we investigate several classes of scalar-Gauss-Bonnet coupling functions. For the simplest quadratic coupling that triggers spontaneous scalarization, the scalarized solutions are thermodynamically disfavored and no phase transition occurs. For an exponential coupling, the phase structure depends strongly on the coupling parameter, allowing for the absence of a transition, a continuous second-order transition, or a discontinuous first-order transition. For couplings leading to purely nonlinear scalarization, we find either a first-order transition or no transition. These results reveal a rich phase structure of scalarized black holes controlled by the scalar-Gauss-Bonnet coupling. |
| title | Phase Structure of Scalarized Black Holes in Einstein-Scalar-Gauss-Bonnet Gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.24164 |