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Junctions and thin shells in general relativity using computer algebra: I. The Darmois - Israel formalism
Open accessAbstract
We present the GRjunction computer algebra program which allows the study of non-null boundary surfaces and thin shells in general relativity. Implementing the Darmois - Israel thin-shell formalism requires a careful selection of definitions and algorithms to ensure that results are generated in a straightforward way. We have used the package to correctly reproduce a wide variety of examples from the literature. In this paper GRjunction is used to perform two new calculations: joining two Kerr solutions with differing masses and angular momenta along a thin shell in the slow rotation limit, and the calculation of the stress - energy of a Curzon wormhole. The Curzon wormhole has the interesting property that shells located at radius R < 2m have regions which satisfy the weak energy condition.
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Cites
Black holes as possible sources of closed and semiclosed worlds
Frolov, V. P., Markov, M. A., & Mukhanov, V. F. (1990) · Physical Review D · doi:10.1103/physrevd.41.383 · Cited by 322
Dynamics of bubbles in general relativity
Berezin, V. A., Kuzmin, V. A., & Tkachev, I. I. (1987) · Physical Review D · doi:10.1103/physrevd.36.2919 · Cited by 283
Cited by
Born–Infeld inspired modifications of gravity
Beltrán Jiménez, J., Heisenberg, L., Olmo, G. J., & Rubiera-Garcia, D. (2018) · Physics Reports · doi:10.1016/j.physrep.2017.11.001 · Cited by 292
Metadata
- Authors
- Musgrave, P., & Lake, K.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1996-07-01
- Volume
- 13
- Issue
- 7
- Pages
- 1885-1899
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2100655944
- Cited by
- 180
- References
- 2
- FWCI
- 0.73
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Musgrave, P., & Lake, K. (1996). Junctions and thin shells in general relativity using computer algebra: I. The Darmois - Israel formalism. Classical and Quantum Gravity. https://doi.org/10.1088/0264-9381/13/7/018
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