English

A Vacuum Solution with Torsion in Higher-Derivative Gravity

High Energy Physics - Theory 2012-09-04 v2

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.

Keywords

Cite

@article{arxiv.1207.0200,
  title  = {A Vacuum Solution with Torsion in Higher-Derivative Gravity},
  author = {Kouzou Nishida},
  journal= {arXiv preprint arXiv:1207.0200},
  year   = {2012}
}

Comments

This paper has been withdrawn by the author

R2 v1 2026-06-21T21:28:43.773Z