Modelling self-consistently beyond General Relativity

TL;DR

This paper introduces a novel approach to consistently model and analyze theories extending General Relativity, overcoming mathematical pathologies to study complex dynamical phenomena like black hole mergers.

Contribution

It presents a new method for treating beyond GR theories that are mathematically problematic, enabling physical analysis of dynamical regimes.

Findings

Successful modeling of black hole mergers in a challenging beyond GR theory

Overcoming mathematical pathologies in extended gravity theories

Enabling physical predictions in complex dynamical regimes

Abstract

The majority of extensions to General Relativity display mathematical pathologies (higher derivatives, character change in equations that can be classified within PDE theory, and even unclassifiable ones) that cause severe difficulties to study them, especially in dynamical regimes. We present here an approach that enables their consistent treatment and extraction of physical consequences. We illustrate this method in the context of single and merging black holes in a highly challenging beyond GR theory.