paper

Properties of a recent quantum extension of the Kruskal geometry

arXiv:2005.02309 · doi:10.1142/S0218271820500765

Abstract

Recently it was shown that, in an effective description motivated by loop quantum gravity, singularities of the Kruskal space-time are naturally resolved [1,2]. In this note we explore a few properties of this quantum corrected effective metric. In particular, we (i) calculate the Hawking temperature associated with the horizon of the effective geometry and show that the quantum correction to the temperature is completely negligible for macroscopic black holes, just as one would hope; (ii) discuss the subtleties associated with the asymptotic properties of the space-time metric, and show that the metric is asymptotically flat in a precise sense; (iii) analyze the asymptotic fall-off of curvature; and, (iv) show that the ADM energy is well-defined (and agrees with that determined by the horizon area), even though the curvature falls off less rapidly than in the standard asymptotically flat context.

22 pages. At Referee's suggestion, a new reference [37] and two remarks added, one at the end of Section III and another, at the end of Section IV.B. Version to appear in the journal

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