Gravitational radiation condition at infinity with a positive cosmological constant

TL;DR

This paper establishes a gauge-invariant radiation condition at infinity for gravitational waves in a universe with a positive cosmological constant, resolving a long-standing theoretical challenge.

Contribution

It introduces a geometric, gauge-invariant criterion for gravitational radiation at infinity in spacetimes with positive cosmological constant, advancing theoretical understanding.

Findings

Provides a new gauge-invariant radiation condition

Addresses gravitational waves in de Sitter-like spacetimes

Resolves theoretical ambiguity at infinity

Abstract

Gravitational waves have been directly detected and astronomical observations indicate that our Universe has a positive cosmological constant $\Lambda$. Nevertheless, a theoretical gauge-invariant notion of gravitational waves arriving at infinity (escaping from the space-time) in the presence of a positive $\Lambda$ has been elusive. We find the answer to this long-standing gravitational puzzle and present a geometric, gauge-invariant radiation condition at infinity.