The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Nordström gravity in(1+1)dimensions coupled to matter
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 model can be reinterpreted as a scalar field theory in flat spacetime in which the scalar field couples to the trace of the total energy-momentum tensor, and we use the flat-spacetime interpretation to formulate the initial value problem for the model. We illustrate our results by using computer simulations of the model to obtain several example solutions.
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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
Geometry, Topology and Physics
Nakahara, M. (1990) · doi:10.1887/0750306068 · Cited by 1,620
Jackiw, R. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90448-1 · Cited by 1,111
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
Applied Computational Fluid Dynamics Techniques: An Introduction Based on Finite Element Methods
Löhner, R. (2008) · Wiley eBooks · doi:10.1002/9780470989746 · Cited by 157
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
Black holes in two spacetime dimensions
Brown, J. D., Henneaux, M., & Teitelboim, C. (1986) · Physical Review D · doi:10.1103/physrevd.33.319 · Cited by 64
Exact solution for the metric and the motion of two bodies in (1+1)-dimensional gravity
Mann, R. B., & Ohta, T. (1997) · Physical Review D · doi:10.1103/physrevd.55.4723 · Cited by 48
Chaos in a Relativistic 3-Body Self-Gravitating System
Burnell, F., Mann, R. B., & Ohta, T. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.134101 · Cited by 21
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
Metadata
- Authors
- Boozer, A. D.
- Affiliations
- University of New Mexico (US)
- Corresponding author
- Boozer, A. D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2011-07-19
- Volume
- 84
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1995430301
- Semantic Scholar
- 8ef936454e751fef2a0224d84155ed12461127b9
- Cited by
- 1
- References
- 13
- Citations by year
- 2024: 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- 1+1 dimensional gravity, scalar-tensor gravity, scalar field theory, energy-momentum tensor, initial value problems, Einstein field equations, exact solutions
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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.