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General Rotating Black Holes in String Theory: Greybody Factors and Event Horizons

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arxiv hep-th/9705192 v2 pith:IHBUNUHY submitted 1997-05-26 hep-th gr-qc

classification hep-thgr-qc
keywords generalrotatingstringblackcaseeffectiveequationevent
verification ladder T0 review T1 audit T2 compute T3 formal

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We derive the wave equation for a minimally coupled scalar field in the background of a general rotating five-dimensional black hole. It is written in a form that involves two types of thermodynamic variables, defined at the inner and outer event horizon, respectively. We model the microscopic structure as an effective string theory, with the thermodynamic properties of the left and right moving excitations related to those of the horizons. Previously known solutions to the wave equation are generalized to the rotating case, and their regime of validity is sharpened. We calculate the greybody factors and interpret the resulting Hawking emission spectrum microscopically in several limits. We find a U-duality invariant expression for the effective string length that does not assume a hierarchy between the charges. It accounts for the universal low-energy absorption cross-section in the general non-extremal case.

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Cited by 5 Pith papers

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  4. Black holes with quantum corrections in $3d$: The case of Page curve in Lindblad, greybody factor, and Lyapunov exponent

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    Applies Lindblad open quantum system methods to quantum-corrected 3d AdS black holes to analyze Page curve zig-zag, greybody factors, and Lyapunov exponents in Cotler-Jensen theory.

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