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Introduction to 3+1 Numerical Relativity
Abstract
This book introduces the modern field of 3+1 numerical relativity. The book has been written in a way as to be as self-contained as possible, and only assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail arethe following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evol
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Generic warp drives violate the null energy condition
Santiago, J., Schuster, S., & Visser, M. (2022) · Physical Review D · doi:10.1103/physrevd.105.064038 · Cited by 42
Alcubierre, M., & Lobo, F. S. N. (2017) · Fundamental Theories of Physics · doi:10.1007/978-3-319-55182-1_11 · Cited by 27
Self-citationAlcubierre warp drive in spherical coordinates with some matter configurations
Abellán, G., Bolivar, N., & Vasilev, I. (2023) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-11091-5 · Cited by 8
Silva, H. O., Tambalo, G., Glampedakis, K., & Yagi, K. (2026) · Physical Review D · doi:10.1103/lgfg-lvjn · Cited by 3
Metadata
- Authors
- Alcubierre, M.
- Corresponding author
- Alcubierre, Miguel
- ORCID
- Alcubierre, Miguel
- Venue
- Oxford University Press eBooks
- Publisher
- Oxford University Press
- Published
- 2008-04-10
- OpenAlex
- W1505567625
- Cited by
- 701
- References
- 0
- Citations by year
- 2026: 24 · 2025: 41 · 2024: 17 · 2023: 35 · 2022: 45 · 2021: 45 · 2020: 33 · 2019: 125 · 2018: 37 · 2017: 39 · 2016: 35 · 2015: 33 · 2014: 23 · 2013: 54 · 2012: 33
- FWCI
- 20.82
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Oxford University Press eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- 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 › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
- Keywords
- general relativity, initial value problems, gauge conditions, evolution equations, strong gravitational fields
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