The No-Hair Conjecture in 2D Dilaton Supergravity

Details The No-Hair Conjecture in 2D Dilaton Supergravity The No-Hair Conjecture in 2D Dilaton Supergravity

1993-06-17

arxiv.org/abs/gr-qc/9306022v1

Phys.Rev. D48 (1993) 4713-4719

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plain Tex, 19pp, IPNO-TH 93/25

Scientific paper

10.1103/PhysRevD.48.4713

We study two dimensional dilaton gravity and supergravity following hamiltonian methods. Firstly, we consider the structure of constraints of 2D dilaton gravity and then the 2D dilaton supergravity is obtained taking the squere root of the bosonic constraints. We integrate exactly the equations of motion in both cases and we show that the solutions of the equation of motion of 2D dilaton supergravity differs from the solutions of 2D dilaton gravity only by boundary conditions on the fermionic variables, i.e. the black holes of 2D dilaton supergravity theory are exactly the same black holes of 2D bosonic dilaton gravity modulo supersymmetry transformations. This result is the bidimensional analogue of the no-hair theorem for supergravity.

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