# Mass loss due to gravitational waves with $\Lambda>0$

## TL;DR

This paper extends the theoretical framework for gravitational wave energy loss to include a positive cosmological constant, aligning with observations of an accelerating universe and recent gravitational wave detections.

## Contribution

It generalizes Bondi mass-energy to a universe with positive cosmological constant by solving Newman-Penrose equations, providing a theoretical basis for energy loss in an expanding universe.

## Key findings

- Generalized Bondi mass-energy for Λ>0
- Theoretical description of energy loss in an accelerating universe
- Consistent with LIGO's gravitational wave observations

## Abstract

The theoretical basis for the energy carried away by gravitational waves that an isolated gravitating system emits was first formulated by Hermann Bondi during the 1960s. Recent findings from looking at distant supernovae revealed that the rate of expansion of our universe is accelerating, which may be well-explained by sticking in a positive cosmological constant into the Einstein field equations for general relativity. By solving the Newman-Penrose equations (which are equivalent to the Einstein field equations), we generalise this notion of Bondi mass-energy and thereby provide a firm theoretical description of how an isolated gravitating system loses energy as it radiates gravitational waves, in a universe that expands at an accelerated rate. This is in line with the observational front of LIGO's first announcement in February 2016 that gravitational waves from the merger of a binary black hole system have been detected.