English

Merging matter and geometry in the same Lagrangian

General Relativity and Quantum Cosmology 2015-11-24 v2

Abstract

We show that a Lagrangian density proportional to g\Lm2/R\sqrt{-g} \L_m^2/R reduces to a pressuron theory of gravity that is indistinguishable from General Relativity in the dust limit. The combination of matter and geometry in the same Lagrangian density intrinsically satisfies Mach's Principle --- since matter cannot exist without curvature and vice versa --- while it may have the correct phenomenology in order to describe actual gravity.

Keywords

Cite

@article{arxiv.1506.03278,
  title  = {Merging matter and geometry in the same Lagrangian},
  author = {Hendrik Ludwig and Olivier Minazzoli and Salvatore Capozziello},
  journal= {arXiv preprint arXiv:1506.03278},
  year   = {2015}
}
R2 v1 2026-06-22T09:50:57.667Z