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gr-qcJul 1, 2020
18
citations (OpenAlex)
authors
  • Yuri N. Obukhov
  • Friedrich W. Hehl
institutions
  • Nuclear Safety Institute
  • Russian Academy of Sciences
arXiv abstractPDF
paper

General relativity as a special case of Poincaré gauge gravity

arXiv:2007.00043 · doi:10.1103/PhysRevD.102.044058

Abstract

We demonstrate that Einstein's general relativity theory arises as a special case in the framework of the Poincaré gauge theory of gravity under the assumption of a suitable nonminimal coupling of matter to the Riemann-Cartan geometry of spacetime.

21 pages, Revtex style, minor corrections, references added

References in corpus (4)

  • Gauge Structure of Teleparallel Gravity
  • On Kottler's path: origin and evolution of the premetric program in gravity and in electrodynamics
  • Teleparallel theory as a gauge theory of translations: comments and issues
  • On source coupling and the teleparallel equivalent to GR

Cited by in corpus (8)

  • Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
  • The dark side of the torsion: Dark Energy from propagating torsion
  • Gravitational waves in metric-affine gravity theory
  • Effect of Torsion on Neutron Star Structure in Einstein-Cartan Gravity
  • The Role of Torsion in Trans-Planckian Physics
  • Affine connection representation of gauge fields
  • A unified view of curvature and torsion in metric-affine gauge theory of gravity through affine-vector bundles
  • A `Third' Quantization Constructed for Gauge Theory of Gravity
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