Self-Consistent Modeling of Gravitational Theories beyond General Relativity

Area of Science:

• Theoretical Physics
• Gravitational Physics

Background:

• Most extensions to general relativity (GR) present mathematical challenges like higher derivatives and equation character changes.
• These pathologies complicate the study of beyond GR theories, particularly in dynamic scenarios involving black holes.

Purpose of the Study:

• To present a novel approach for the consistent treatment of mathematical pathologies in beyond GR theories.
• To enable the extraction of physical consequences from these challenging theoretical frameworks.

Main Methods:

• Developing a consistent mathematical framework to handle pathologies in beyond GR theories.
• Applying the method to analyze single and merging black hole scenarios within a specific beyond GR theory.

Main Results:

• Demonstrated a method to overcome mathematical difficulties in studying beyond GR theories.
• Successfully extracted physical consequences in the context of black hole dynamics.

Conclusions:

• The presented approach offers a viable pathway for investigating complex beyond GR theories.
• This method is crucial for advancing our understanding of gravity and black hole physics beyond Einstein's theory.