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

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Olmo, Gonzalo J.^1,2 ; Rubiera-Garcia, D.^2,3

Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia, Burjassot, Valencia

46100, Spain^1

Departamento de Física, Universidade Federal da Paraíba, João Pessoa, Paraíba

58051-900, Brazil^2

Center for Field Theory and Particle Physics, Department of Physics, Fudan University, 220 Handan Road, Shanghai

200433, China^3

关键词: Continuum level;    Crystalline structure;    General Relativity;    Gravitational physics;    Riemannian geometry;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012041/pdf
DOI  :  10.1088/1742-6596/600/1/012041

来源: IOP

【 摘 要 】

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.