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

Understand

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.