Quantum States for Black Holes

Physics

Scientific paper

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Scientific paper

Interest in quantum black holes have been increasing1-2 in order to better understand the latest stages of gravitational collapse. Our starting point is the 4-dimensional action S4-D = ∫ {d4 x√ {-g} [{R4}/{16}} - {(∇ 4 ψ 4)2 }/{2}}, associated with a 4-dimensional spherically symmetric metric ds2 = hab (τ ,r)dxa dxb + φ 2 (dθ 2 + sin 2 θ dω 2), with det(hab) = -α2β In addition hat{psi}_4 (tau ,r,theta ,omega) is a scalar field depending on all space-time coordinates, with ψ 4 = ψ 0 (τ ,r) + ∑ limits n {Cn ψ n (τ,r) Qn (θ ,ω )}, where Qn are usual harmonics on S2 forming a complete orthonormal set ...

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