Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability

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.

27 pages, 5 figures. References added and effect of the compactification for the black hole is discussed around eq. (68)

References in corpus (5)

• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Holographic description of quantum black hole on a computer
• Toward the Determination of R^3F^2 Terms in M-theory
• Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges
• Quantum M-wave and Black 0-brane