Abstract
We analyze the backreaction of a class of scalar field self-interactions with the possibility of evolving from an AdS vacuum to a fixed point where the scalar field potential vanishes. Exact solutions which interpolate between these regions, ranging from stationary black hole to dynamical spacetimes are constructed. Their surface charges are finite but non-integrable. We study the properties of these charges on the solutions. In particular, we show that the integrable part of the charges provides a realization of the conformal algebra by means of a modification of the Dirac bracket proposed by Barnich and Troessaert. The latter construction allows for a field dependent central extension, whose value tends to the Brown-Henneaux central charge at late times.
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Acknowledgments
We thank Gaston Giribet, Olivera Mišković Alfredo Pérez, Francisco Rojas and Ricardo Troncoso for useful discussions. This research has been supported by FONDECYT grants 1200986, 1210635, 1221504, 1221920 and 1230853. The research of AA is supported in part by a visiting researcher award of the FAPESP 2022/11765-7. AN thanks Beca ANID-Subdirección de Capital Humano/Magíster Nacional/2021-22211733 for financial support. HG and AN would also like to acknowledge the support of ACT210100 ANILLO Grant.
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Anabalón, A., González, H.A., Neira-Gallegos, A. et al. New boundary conditions in Einstein-scalar gravity in three dimensions. J. High Energ. Phys. 2023, 149 (2023). https://doi.org/10.1007/JHEP12(2023)149
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DOI: https://doi.org/10.1007/JHEP12(2023)149