English

Characteristic classes in general relativity on a modified Poincare curvature bundle

General Relativity and Quantum Cosmology 2018-07-06 v2

Abstract

Characteristic classes in space-time manifolds are discussed for both even- and odd-dimensional spacetimes. In particular, it is shown that the Einstein--Hilbert action is equivalent to a second Chern-class on a modified Poincare bundle in four dimensions. Consequently, the cosmological constant and the trace of an energy-momentum tensor become divisible modulo R/Z.

Keywords

Cite

@article{arxiv.1706.01328,
  title  = {Characteristic classes in general relativity on a modified Poincare curvature bundle},
  author = {Yoshimasa Kurihara},
  journal= {arXiv preprint arXiv:1706.01328},
  year   = {2018}
}

Comments

12 pages, no figure

R2 v1 2026-06-22T20:09:17.657Z