The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Nordström gravity coupled to point particles in (1+1) dimensions
Abstract
We consider a ($1+1$)-dimensional model of general relativity that is based on a geometric theory of gravity due to Nordstr\"om. We show that the theory is formally equivalent to scalar field theory in flat spacetime, and we exploit this equivalence to solve the initial value problem for the system for the case of point particle sources. We illustrate our results by obtaining several example solutions to the model.
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Cites
Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
Weinberg, S., & Dicke, R. H. (1973) · American Journal of Physics · doi:10.1119/1.1987308 · Cited by 3,103
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Jackiw, R. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90448-1 · Cited by 1,111
The Gravitational Equations and the Problem of Motion
Einstein, A., Infeld, L., & Hoffmann, B. (1938) · The Annals of Mathematics · doi:10.2307/1968714 · Cited by 744
Third post-Newtonian higher order ADM Hamilton dynamics for two-body point-mass systems
Jaranowski, P., & Schäfer, G. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.7274 · Cited by 280
Radiation reaction and angular momentum loss in small angle gravitational scattering
Damour, T., & Deruelle, N. (1981) · Physics Letters A · doi:10.1016/0375-9601(81)90567-3 · Cited by 224
Gravitational field and equations of motion of compact binaries to 5/2 post-Newtonian order
Luc Blanchet, A., Faye, G., & Ponsot, B. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.58.124002 · Cited by 190
Classical and quantum properties of two-dimensional black holes
Mann, R. B., Shiekh, A., & Tarasov, L. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90265-f · Cited by 163
Zur Theorie der Gravitation vom Standpunkt des Relativitätsprinzips
Nordström, G. (1913) · Annalen der Physik · doi:10.1002/andp.19133471303 · Cited by 160
Semiclassical gravity in 1+1 dimensions
Mann, R. B., Morsink, S. M., Sikkema, A. E., & Steele, T. G. (1991) · Physical Review D · doi:10.1103/physrevd.43.3948 · Cited by 99
Research works printed but not linked: 1
- C. W. Misner, 1971, Gravitation
Cited by
One-Dimensional Relativistic Self-Gravitating Systems
Mann, R. B. (2024) · Entropy · doi:10.3390/e26070612 · Cited by 5
Nordström gravity in(1+1)dimensions coupled to matter
Boozer, A. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024035 · Cited by 1
Self-citation
Metadata
- Authors
- Boozer, A. D.
- Affiliations
- California Institute of Technology (US)
- Corresponding author
- Boozer, A. D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2010-03-18
- Volume
- 81
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1984086967
- Semantic Scholar
- 639aa10670ef6624cf2fb278798eac0f708cdf71
- Cited by
- 2
- References
- 18
- Citations by year
- 2024: 1
- FWCI
- 0.13
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- 1+1 dimensional gravity, initial value problems, exact solutions, scalar-tensor gravity
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- The paper
- Boozer, A. D. (2010). Nordström gravity coupled to point particles in (1+1) dimensions. Physical Review D. https://doi.org/10.1103/physrevd.81.064022
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.
