Consistent discretizations: The Gowdy spacetimes
Open accessAbstract
We apply the consistent discretization scheme to general relativity particularized to the Gowdy spacetimes. This is the first time the framework has been applied in detail in a nonlinear generally covariant gravitational situation with local degrees of freedom. We show that the scheme can be correctly used to numerically evolve the spacetimes. We show that the resulting numerical schemes are convergent and preserve approximately the constraints as expected. Given the numerical complexity of the method, further work will be needed to make it competitive with the usual free evolution methods currently in use in numerical relativity.
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In four dimensions, results from the consistent-discretization approach indicate that diffeomorphism invariance is broken by discretization in the sense that there is no infinitesimal generator of diffeomorphism.
“Their results indicate that diff-invariance is indeed broken by the discretization in the sense that there is no infinitesimal generator of diffeomorphism.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [190]
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Self-citationLoss of quantum coherence from discrete quantum gravity
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The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677 · see citing works
CONSISTENT DISCRETIZATION AND CANONICAL, CLASSICAL AND QUANTUM REGGE CALCULUS
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Self-citationConsistent discretizations as a road to Quantum Gravity
Gambini, R., & Pullin, J. (2009) · Approaches to Quantum Gravity · doi:10.1017/cbo9780511575549.024 · Cited by 15 · see citing works
Self-citation
- Authors
- Gambini, R., Ponce, M., & Pullin, J.
- Affiliations
- Universidad de la República de Uruguay (UY)
- Louisiana State University (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2005-07-29
- Volume
- 72
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1992957371
- Cited by
- 9
- References
- 19
- Citations by year
- 2013: 1 · 2012: 2
- FWCI
- 0.77
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Civil War Book Review (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
- Keywords
- Gowdy spacetimes, numerical relativity, general relativity, constraint preservation, numerical convergence, local degrees of freedom, free evolution
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