Scattering of spherically symmetric d-dimensional alpha'-corrected black holes in string theory

Abstract

We study scattering of minimally coupled massless scalar fields by non-extremal spherically symmetric black holes in d dimensions with string-theoretical alpha' corrections. We then obtain a formula for the low frequency absorption cross section for every black hole of this kind, which we apply to known black hole solutions. We compare the alpha' corrections for the absorption cross section with those for the black hole entropy, obtained through Wald's formula, in each case concluding that these corrections are different. We find a general covariant formula for the absorption cross section including alpha' corrections, in terms of the horizon area and temperature.

27 pages. v2: some clarifications; discussion on the scalar field equation improved; some parts moved from the main text to two appendices. v3: discussion on dependence under field redefinitions extended; new section with scheme-independent formulae for entropy and cross section

References in corpus (6)

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• Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory
• Transport coefficients, membrane couplings and universality at extremality
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• Absorption of scalars by nonextremal charged black holes in string theory
• Absorption of scalars by extremal black holes in string theory
• Absorption and scattering of a high dimensional noncommutative black hole
• On the temperature dependence of the absorption cross section for black holes in string theory
• Greybody factors of string-corrected d-dimensional black holes