Effective dynamics of self-gravitating extended objects

TL;DR

This paper develops an effective Lagrangian framework to describe the classical and semiclassical dynamics of self-gravitating, spherically symmetric objects like black holes and wormholes, providing insights into their role in early universe fluctuations.

Contribution

It introduces a novel effective Lagrangian approach that unifies various results on self-gravitating objects and their nucleation processes in cosmological contexts.

Findings

Unified description of black holes, wormholes, and bubbles dynamics.

Calculation of gravitational nucleation coefficients for bubble pairs.

Reinterpretation of different methods within a single effective framework.

Abstract

We introduce an effective Lagrangian which describes the classical and semiclassical dynamics of spherically symmetric, self-gravitating objects that may populate the Universe at large and small (Planck) scale. These include wormholes, black holes and inflationary bubbles. We speculate that such objects represent some possible modes of fluctuation in the primordial spacetime foam out of which our universe was born. Several results obtained by different methods are encompassed and reinterpreted by our effective approach. As an example, we discuss: i) the gravitational nucleation coefficient for a pair of Minkowski bubbles, and ii) the nucleation coefficient of an inflationary vacuum bubble in a Minkowski background