A Vacuum Solution with Torsion in Higher-Derivative Gravity

2012/07/01 by Kouzou Nishida, Nishida, Kouzou
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.1207.0200

This paper has been withdrawn by the author

openalex publication_date 2012/07/01 · arxiv created 2012/09/02 · arxiv updated 2012/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide a vacuum solution with torsion in quadratic Riemann-curvature gravity. Physically, the solution means that vacuum can have a nonzero vacuum field with large torsion. We show that the Einstein-Hilbert action can be derived if we expand the quadratic curvature of the Lagrangian in a torsion-free Riemannian space-time around a nonzero vacuum field. We also show that the cosmological constant caused by a nonzero vacuum field is equal to zero.

Related

• Analytic solutions to Riemann-squared gravity with background isotropic torsion
• A exact de Sitter cosmological solution of quadratic gravitation with torsion
• Ghost-free higher-order theories of gravity with torsion
• Non-metricities, torsion and fermions
• Quadratic Gravitational Lagrangian with Torsion Can Give Possible Explanations of the Form of Galactic Rotation Curves, of the Amount of Intergalactic Lensings, and of the Accelerating Expansion of the Universe