Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability
General Relativity and Quantum Cosmology
2017-01-25 v2 High Energy Physics - Theory
Abstract
We take into account higher derivative R4 corrections in M-theory and construct quantum black hole and black string solutions in 11 dimensions up to the next leading order. The quantum black string is stretching along the 11th direction and the Gregory-Laflamme instability is examined at the quantum level. Thermodynamics of the boosted quantum black hole and black string are also discussed. Especially we take the near horizon limit of the quantum black string and investigate its instability quantitatively.
Keywords
Cite
@article{arxiv.1503.05083,
title = {Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability},
author = {Yoshifumi Hyakutake},
journal= {arXiv preprint arXiv:1503.05083},
year = {2017}
}
Comments
27 pages, 5 figures. References added and effect of the compactification for the black hole is discussed around eq. (68)