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Dilatonic Black Holes in Higher Curvature String Gravity

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arxiv hep-th/9511071 v1 pith:BGFE34SQ submitted 1995-11-10 hep-th gr-qc

P.Kanti , N.E.Mavromatos , J.Rizos , K.Tamvakis , E.Winstanley This is my paper
classification hep-thgr-qc
keywords solutionsblackcurvaturedilatonhairholetermsabsence
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abstract

We give analytical arguments and demonstrate numerically the existence of black hole solutions of the $4D$ Effective Superstring Action in the presence of Gauss-Bonnet quadratic curvature terms. The solutions possess non-trivial dilaton hair. The hair, however, is of ``secondary" type", in the sense that the dilaton charge is expressed in terms of the black hole mass. Our solutions are not covered by the assumptions of existing proofs of the ``no-hair" theorem. We also find some alternative solutions with singular metric behaviour, but finite energy. The absence of naked singularities in this system is pointed out.

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Cited by 9 Pith papers

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