https://doi.org/10.1140/epjc/s10052-020-08526-2
Regular Article – Theoretical Physics
On higher dimensional self-similar axion–dilaton solutions
1
Scuola Normale Superiore and I.N.F.N, Piazza dei Cavalieri 7, 56126, Pisa, Italy
2
Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, 35131, Padua, Italy
Received:
8
September
2020
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. corrected publication 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
