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# Planckian AdS 2 × S 2 space is an exact solution of the semiclassical Einstein equations

@inproceedings{Solodukhin1998PlanckianA2, title={Planckian AdS 2 × S 2 space is an exact solution of the semiclassical Einstein equations}, author={Sergey N. Solodukhin}, year={1998} }

- Published 1998

The product space configuration AdS2 × S2 (with l and r being radiuses of the components) carrying the electric charge Q is demonstrated to be an exact solution of the semiclassical Einstein equations in presence of the Maxwell field. If the logarithmic UV divergences are absent in the four-dimensional theory the solution we find is identical to the classical Bertotti-Robinson space (r = l = Q) with no quantum corrections added. In general, the analysis involves the quadratic curvature coupling… CONTINUE READING

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