Abstract
We study the critical dynamics in scalarization and descalarization in the fully nonlinear dynamical evolution in the class of theories with a scalar field coupling with both Gauss-Bonnet (GB) invariant and Ricci scalar. We explore the manner in which the GB term triggers black hole (BH) scalarization. A typical type I critical phenomenon is observed, in which an unstable critical solution emerges at the threshold and acts as an attractor in the dynamical scalarization. For the descalarization, we reveal that a marginally stable attractor exists at the threshold of the first-order phase transition in shedding off BH hair. This is a new type I critical phenomenon in the BH phase transition. Implications of these findings are discussed from the perspective of thermodynamic properties and perturbations for static solutions. We examine the effect of scalar-Ricci coupling on the hyperbolicity in the fully nonlinear evolution and observe that such coupling can suppress the elliptic region and enlarge parameter space in computations.
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This work was supported by the National Key R&D Program of China (Grant No. 2020YFC2201400), the National Natural Science Foundation of China (Grant Nos. 11975235, 12005077, and 12035016), and Guangdong Basic and Applied Basic Research Foundation (Grant No. 2021A1515012374). Bin Wang was partially supported by the National Natural Science Foundation of China (Grant No. 12075202). Some of our calculations were performed using the tensor-algebra bundle xAct http://www.xact.es/.
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Liu, Y., Zhang, CY., Chen, Q. et al. Critical scalarization and descalarization of black holes in a generalized scalar-tensor theory. Sci. China Phys. Mech. Astron. 66, 100412 (2023). https://doi.org/10.1007/s11433-023-2160-1
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DOI: https://doi.org/10.1007/s11433-023-2160-1