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

TL;DR

This paper introduces a frame-dependent effective gravitational action that replicates a cosmological constant in cosmological models but alters black hole horizons, potentially impacting the black hole information paradox.

Contribution

It proposes a novel frame-dependent gravitational action that mimics a cosmological constant and modifies black hole horizons, offering new insights into black hole physics.

Findings

Mimics a cosmological constant in Robertson-Walker spacetimes

Alters black hole horizon structure in Schwarzschild-like geometries

Prevents $g_{00}$ from vanishing at the horizon

Abstract

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".