A frame-dependent gravitational effective action mimics a cosmological constant, but modifies the black hole horizon

摘要

A frame-dependent effective action motivated by the postulates of three-space general coordinate invariance and Weyl scaling invariance exactly mimics a cosmological constant in Robertson-Walker spacetimes. However, in a static spherically symmetric Schwarzschild-like geometry it modifies the black hole horizon structure within microscopic distances of the nominal horizon, in such a way that g(00) never vanishes. This could have important implications for the black hole "information paradox".