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This paper investigates SO(d + 1) invariant solutions of the classical vacuum Einstein equations in p + d + 3 dimensions, particularly in the limit as d approaches infinity. It constructs a class of solutions characterized by the shape of a membrane and a velocity field on this membrane, demonstrating that the dynamics of black holes can be described by equations of motion governing these variables. The findings reveal a new set of equations that capture the nonlinear dynamics of black hole quasi normal mod
- Author
- maxfong430
- Language
- EN