Midisuperspace-Induced Corrections to the Wheeler De Witt Equation

TL;DR

This paper investigates how regularization in the midisuperspace of spherically symmetric metrics modifies the Wheeler-DeWitt equation, revealing quantum gravitational corrections in a reduced model of gravity.

Contribution

It introduces a method to derive corrections to the Wheeler-DeWitt equation from midisuperspace quantization of spherically symmetric gravity.

Findings

Regularization induces specific modifications to the Wheeler-DeWitt equation.

The approach connects midisuperspace quantization with scalar-tensor theories.

Quantum corrections are explicitly derived for spherically symmetric models.

Abstract

We consider the midisuperspace of four dimensional spherically symmetric metrics and the Kantowski-Sachs minisuperspace contained in it. We discuss the quantization of the midisuperspace using the fact that the dimensionally reduced Einstein Hilbert action becomes a scalar-tensor theory of gravity in two dimensions. We show that the covariant regularization procedure in the midisuperspace induces modifications into the minisuperspace Wheeler DeWitt equation.