A simple expression for the ADM mass
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In an asymptotically Minkowski coordinate system, these spherical matter shell solutions are Schwarzschild-like and can be parameterized by their ADM mass.
“In a coordinate system that is asymptotically Minkowski, these are Schwarzschild-like solutions that can be parameterized by their ADM mass”
From Constant velocity physical warp drive solution (2024) · cites this paper as [5]
The Introduction (p. 1) says that ADM mass equals Schwarzschild mass for Schwarzschild spacetime, and §2 (p. 4) defines ADM mass in asymptotically Euclidean spatial coordinates. The paper does not establish that spherical matter-shell solutions are Schwarzschild-like or can be parameterized by ADM mass; it also does not describe those coordinates as asymptotically Minkowski. (LLM, conf=0.84)
Experimental — accuracy not yet measuredOne method of creating positive energy is to use spherical matter shell solutions that have a defined ADM mass.
“One method of creating positive energy is to use spherical matter shell solutions that have a defined ADM mass [5].”
From Constant velocity physical warp drive solution (2024) · cites this paper as [5]
The Introduction (pp. 1–2) discusses Schwarzschild mass and a construction joining a curved interior to a flat exterior; §2 (p. 4) defines ADM mass. Searches for “matter shell,” “shell solutions,” and “positive energy” found no passage describing spherical matter-shell solutions as a method of creating positive energy. (LLM, conf=0.76)
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Cites
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Constant velocity physical warp drive solution
Fuchs, J., Helmerich, C., Bobrick, A., Sellers, L., Melcher, B., & Martire, G. (2024) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ad26aa · Cited by 11 · see citing works
“This can be expressed in another way using the definition of ADM mass [5], which is a quantity describing the concept of mass as seen in faraway regions.”
- Authors
- Brewin, L.
- Affiliations
- Monash University (AU)
- Corresponding author
- Brewin, Leo
- Venue
- General Relativity and Gravitation
- Published
- 2007-02-06
- Volume
- 39
- Issue
- 4
- Pages
- 521-528
- ISSN
- 0001-7701 (ISSN-L)
- 1572-9532
- OpenAlex
- W2020538117
- Cited by
- 17
- References
- 10
- Citations by year
- 2025: 1 · 2024: 2 · 2022: 2 · 2021: 1 · 2020: 1 · 2019: 1 · 2018: 2 · 2017: 1 · 2016: 1 · 2015: 2 · 2014: 2
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- General Relativity and Gravitation (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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
- ADM mass, asymptotically flat spacetimes, surface integrals, simplicial spaces, gravitational energy
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