Testing pseudo-complex general relativity with gravitational waves

TL;DR

This paper proposes a method to test pseudo-complex general relativity using gravitational wave data, focusing on deviations near black hole horizons, and demonstrates how current observations can constrain the model's parameters.

Contribution

It introduces a framework for testing pseudo-complex general relativity with gravitational waves and derives bounds on the model based on observational data.

Findings

Gravitational wave signals can constrain pseudo-complex GR parameters.

Certain parameter ranges exclude the existence of black holes.

Current observations limit deviations from Einstein gravity in the near-horizon regime.

Abstract

We show how the model of pseudo-complex general relativity can be tested using gravitational wave signals from coalescing compact objects. The model, which agrees with Einstein gravity in the weak-field limit, diverges dramatically in the near-horizon regime, with certain parameter ranges excluding the existence of black holes. We show that simple limits can be placed on the model in both the inspiral and ringdown phase of coalescing compact objects. We discuss further how these bounds relate to current observational limits. In particular, for minimal scenarios previously considered in the literature, gravitational wave observations are able to constrain pseudo-complex general relativity parameters to values that require the existence of black hole horizons.