Regular Article – Theoretical Physics
On higher dimensional self-similar axion–dilaton solutions
Center for Theoretical Physics and College of Physics, Jilin University, 130012, Changchun, China
2 Scuola Normale Superiore and I.N.F.N, Piazza dei Cavalieri 7, 56126, Pisa, Italy
3 Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, 35131, Padua, Italy
Accepted: 3 October 2020
Published online: 15 October 2020
We show that solutions of the self-similar gravitational collapse in the Einstein-axion–dilaton system exist in higher-dimensional spacetimes. These solutions are invariant under spacetime dilation combined with internal SL(2,) transformations. We rely on the recent setup of Antonelli and Hatefi (JHEP 03:074, arXiv:1912.00078 [hep-th], 2020) and use it for the three different conjugacy classes (elliptic, parabolic and hyperbolic) in higher dimensions. Lastly, we identify new families of physically distinguishable self-similar solutions for all three conjugacy classes in six and seven dimensions.
© The Author(s) 2020
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