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- W2963592653 abstract "We consider a d−dimensional spherically symmetric dilatonic R2 string corrected black hole solution. We study its stability under tensor type gravitational perturbations and compute the absorption cross section for low frequency gravitational waves. We are interested in studying the behavior of a string-corrected dilatonic black hole solution under perturbations in d spacetime dimensions [1], setting any tensorial or fermionic fields to zero and taking as background metric d s = −f(r) d t + f(r) d r + r dΩd−2 (1) with dΩd−2 = γij (θ) dθ i dθ, γij = gij/r 2 being the metric of a (d− 2)-sphere S. We take, in the effective action, only the leading R2 α correction [2]: 1 2κ2 ∫ √−g [ R− 4 d− 2 (∂ φ) ∂μφ+ e 4 2−d φλ 2 RRμνρσ ] dx, (2) with λ = α ′ 2 , α ′ 4 , 0 for bosonic, heterotic and superstrings, respectively. The corrected field equation for the graviton is, to this order, Rμν + λe 4 2−d φ ( RμρστR ρστ ν − 1 2(d− 2)gμνRρσλτR ρσλτ ) = 0. (3) Here we only take tensorial perturbations to the metric (by using the dilaton field equation, we show that we can set δφ = 0), given by hμν = δgμν [3]: hij = 2r HT (r)Tij ( θ ) , hir = hit = 0, hrr = htr = htt = 0. (4) Di is the S d−2 covariant derivative; Tij are the eigentensors of the S laplacian, with eigenvalues −kT = 2− l (l+ d− 3) , l = 2, 3, 4 . . . , satisfying" @default.
- W2963592653 created "2019-07-30" @default.
- W2963592653 creator A5060820139 @default.
- W2963592653 date "2008-09-01" @default.
- W2963592653 modified "2023-09-27" @default.
- W2963592653 title "PERTURBATIVE STABILITY AND ABSORPTION CROSS SECTION IN STRING CORRECTED BLACK HOLES" @default.
- W2963592653 cites W1984625591 @default.
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- W2963592653 doi "https://doi.org/10.1142/9789812834300_0158" @default.
- W2963592653 hasPublicationYear "2008" @default.
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