Gravitation without the equivalence principle

Abstract

In the general relativistic description of gravitation, geometry replaces the concept of force. This is possible because of the universal character of free fall, and would break down in its absence. On the other hand, the teleparallel version of general relativity is a gauge theory for the translation group and, as such, describes the gravitational interaction by a force similar to the Lorentz force of electromagnetism, a non-universal interaction. Relying on this analogy it is shown that, although the geometric description of general relativity necessarily requires the existence of the equivalence principle, the teleparallel gauge approach remains a consistent theory for gravitation in its absence.

Latex, 11 pages, no figures. Minor presentation changes. Version to appear in Gen. Rel. Grav. (2004)

References in corpus (8)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• The Confrontation between General Relativity and Experiment
• Gravitational Lorentz Force and the Description of the Gravitational Interaction
• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Metric-affine approach to teleparallel gravity
• On the Equivalence Principle in Quantum Theory
• Teleparallel Spin Connection
• Gravitation as Anholonomy

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• Torsion Gravity: a Reappraisal
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Nonlocal Gravity Simulates Dark Matter
• A formal framework for a nonlocal generalization of Einstein's theory of gravitation
• Solar System Tests in Modified Teleparallel Gravity
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Constraining Teleparallel Gravity through Gaussian Processes
• Growth factor in $f(T,\mathcal{T})$ gravity
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• The $3+1$ Formalism in the Geometric Trinity of Gravity
• Testing the violation of the equivalence principle in the electromagnetic sector and its consequences in $f(T)$ gravity
• Teleparallelism: A New Insight Into Gravity
• Torsion and Gravitation: A new view
• Gravitation: Global Formulation and Quantum Effects
• Torsion and the Gravitational Interaction
• Dark energy as a kinematic effect
• Gravitation and Duality Symmetry
• Deformed Weitzenböck Connections and Double Field Theory
• An Improved Framework for Quantum Gravity
• Contemplating the fate of modified gravity