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arXiv · 2410.16920

Spontaneous Vectorization in the Einstein-Maxwell-Vector Model

Guang-Zai Ye·Chong-Ye Chen·GuoYang Fu·Chao Niu·Cheng-Yong Zhang·Peng Liu
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Abstract

We investigate spontaneous vectorization in the Einstein-Maxwell-Vector (EMV) model, introducing a novel mechanism driven by the interplay between electromagnetic and vector fields. A key innovation in our work is the resolution of an apparent divergence in the vector field near the event horizon, achieved by employing a generalized coordinate transformation. This not only extends the domain of existence for vectorized Reissner-Nordstr\"om black holes (VRNBHs), but also refines the theoretical understanding of such solutions. We introduce a new concept of combined charge $\sqrt{\tilde{Q}^2 + \tilde{P}^2}$, which better captures the underlying physics of these black holes and provides a unified framework for analyzing thermodynamics and observable phenomena such as light ring structures. Our findings suggest that VRNBHs exhibit enhanced thermodynamic preference and distinctive light ring properties compared to Reissner-Nordstr\"om solutions. Moreover, we demonstrate how this combined charge approach reveals connections to two-charge black hole solutions, offering promising avenues for observational verification within the context of effective field theories.

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Guang-Zai Ye, Chong-Ye Chen, GuoYang Fu, Chao Niu, Cheng-Yong Zhang, Peng Liu. 2024-10-22. Spontaneous Vectorization in the Einstein-Maxwell-Vector Model. https://doi.org/10.1103/physrevd.111.064016

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