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New insights on the matter-gravity coupling paradigm.

Térence Delsate¹, Jan Steinhoff

¹CENTRA, Instituto Superior Técnico, Avenida Rovisco Pais 1, 1049-001 Lisbon, Portugal, EU.

Physical Review Letters

|October 4, 2012

Summary

This study explores nonlinear gravity-matter coupling, revealing an ambiguity between modified coupling and fluid equations of state in modified gravity theories. Such theories are viable, impacting our understanding of gravity and matter interactions.

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Area of Science:

Theoretical Physics
Cosmology
Gravitational Physics

Background:

General relativity assumes a linear coupling between matter (stress tensor) and spacetime geometry (Einstein tensor).
Modified gravity theories often alter vacuum dynamics but maintain linear matter coupling.
Nonlinear gravity-matter coupling presents a departure from standard assumptions.

Purpose of the Study:

To investigate the implications of consistent nonlinear gravity-matter coupling.
To analyze the Eddington-inspired Born-Infeld theory as a model for nonlinear coupling.
To explore the viability and observational consequences of such modified theories.

Main Methods:

Analysis of the Eddington-inspired Born-Infeld theory coupled to a perfect fluid.
Investigating the resulting degeneracy between modified coupling and modified equation of state.
Assessing theoretical and experimental viability through energy conditions, consistency, and singularity avoidance.

Main Results:

The Eddington-inspired Born-Infeld theory coupled to a perfect fluid mimics general relativity with a nonlinearly modified fluid.
A degeneracy arises between modified gravity-matter coupling and modified fluid equation of state.
The modified theory demonstrates viability concerning energy conditions, consistency, and singularity avoidance.

Conclusions:

Nonlinear gravity-matter coupling introduces ambiguities that require careful observational and theoretical consideration.
The Eddington-inspired Born-Infeld theory offers a viable framework for exploring nonlinear coupling paradigms.
This research impacts the fundamental understanding of gravity and its interaction with matter.