Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 650

The DOI matches its Crossref record.

Post-Newtonian Metric for a General Class of Scalar-Tensor Gravitational Theories and Observational Consequences.

Nordtvedt, Kenneth, Jr.·1970·The Astrophysical Journal
DOI 10.1086/150607
Open this paper in CoChat — free account

Abstract

A general class of scalar-tensor gravitational theories is considered in which the c parameter of the Brans-Dicke theory is allowed to be an arbitrary (positive definite) function of the scalar field (co co( )). The weak-field metric for slowly moving mass sources is obtained to order 1/c4 for goo, allowing us to examine phenomenologically the question of whether experiments within the solar system can detect a possible co' dw/d 0. The post-Newtonian (1/c4) metric is dependent only on the two parameters co( o) and co'( o), where o is the scalar-field value at this time in the Universe. A variety of experimental consequences of co' $ 0 are found, including a contribution to the rate of precession of Mercury's perihelion.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1086/150607

Cites

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cited by

See all 650

Metadata

Authors
Nordtvedt, K., Jr.
Venue
The Astrophysical Journal
Publisher
American Astronomical Society
Published
1970-09
Volume
161
Pages
1059
ISSN
  • 0004-637X (ISSN-L)
  • 1538-4357
DOI
10.1086/150607
OpenAlex
W2143200575
Cited by
650
References
0
FWCI
1.92
Type
journal article
Language
en
Open access
closed

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Post-Newtonian Metric for a General Class of Scalar-Tensor Gravitational Theories and Observational Consequences. https://app.cochat.ai/papers/10.1086/150607
The paper
Nordtvedt, K., Jr. (1970). Post-Newtonian Metric for a General Class of Scalar-Tensor Gravitational Theories and Observational Consequences. The Astrophysical Journal. https://doi.org/10.1086/150607

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.