6533b85efe1ef96bd12c06ae

RESEARCH PRODUCT

Non-Riemannian geometry: towards new avenues for the physics of modified gravity

Gonzalo J. OlmoGonzalo J. OlmoDiego Rubiera-garciaDiego Rubiera-garcia

subject

PhysicsHistoryGeneral relativityFOS: Physical sciencesAnalogyGeneral Relativity and Quantum Cosmology (gr-qc)Riemannian geometryGeneral Relativity and Quantum CosmologyComputer Science ApplicationsEducationGravitationFormalism (philosophy of mathematics)symbols.namesakeTheoretical physicsGeneral Relativity and Quantum CosmologysymbolsWormholePhenomenology (particle physics)

description

Less explored than their metric (Riemannian) counterparts, metric-affine (or Palatini) theories bring an unexpected phenomenology for gravitational physics beyond General Relativity. Lessons of crystalline structures, where the presence of defects in their microstructure requires the use of non-Riemannian geometry for the proper description of their properties in the macroscopic continuum level, are discussed. In this analogy, concepts such as wormholes and geons play a fundamental role. Applications of the metric-affine formalism developed by the authors in the last three years are reviewed.

10.1088/1742-6596/600/1/012041http://arxiv.org/abs/1506.02139