Merging matter and geometry in the same Lagrangian

Hendrik Ludwig; Olivier Minazzoli; Salvatore Capozziello

Merging matter and geometry in the same Lagrangian

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1506.03278 v2 pith:CBJZOIIT submitted 2015-06-10 gr-qc

Merging matter and geometry in the same Lagrangian

Hendrik Ludwig , Olivier Minazzoli , Salvatore Capozziello This is my paper

classification gr-qc

keywords lagrangianmatterdensitygeometrygravitysameactualcannot

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We show that a Lagrangian density proportional to $\sqrt{-g} \L_m^2/R$ 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.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Numerical evaluation of the exact post-Newtonian parameters in Brans-Dicke and entangled relativity theories
gr-qc 2026-02 conditional novelty 6.0

First numerical evaluation of the exact strong-field post-Newtonian parameters in Brans–Dicke and Entangled Relativity: neutron-star deviations up to ~46% from standard values, and dipolar gravitational-wave predictio...