Die Grundlage der allgemeinen Relativitätstheorie
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Der speziellen Relativitätstheorie liegt folgendes Postulat zugrunde, welchem auch durch die Galilei-Newtonsche Mechanik Genüge geleistet wird: Wird ein Koordinatensystem K so gewählt, daß in bezug auf dasselbe die physikalischen Gesetze in ihrer einfachsten Form gelten, so gelten dieselben Gesetze auch in Bezug auf jedes andere Koordinatensystem K′, das relativ zu K in gleichförmiger Translationsbewegung begriffen ist. Dieses Postulat nennen wir „spezielles Relativitätsprinzip“. Durch das Wort „speziell” soll angedeutet werden, daß das Prinzip auf den Fall beschränkt ist, daß K′ eine gleichförmige Translationsbewegung gegen Kausführt, daß sich aber die Gleichwertigkeit von K′ und K nicht auf den Fall ungleichförmiger Bewegung von K′ gegen K erstreckt.
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Energy conservation is non-trivial in general relativity because curved spacetime can become time-dependent.
“Thus the energy conservation is non-trivial in general relativity[11], since the curved spacetime can become time-dependent.”
From Is energy conserved in general relativity? (2025) · cites this paper as [11]
In §15 and §17 (page unavailable), Einstein treats energy conservation as requiring an account of both matter and the gravitational field; §15 also notes that the gravitational-field energy components do not form a tensor. The discussion of the metric describes its components as functions of space and time, but the paper does not explicitly give time-dependent curved spacetime as the reason energy conservation is non-trivial. (LLM, conf=0.82)
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- Authors
- Einstein, A.
- Corresponding author
- Einstein, A.
- Venue
- Annalen der Physik
- Publisher
- Wiley
- Published
- 1916-01
- Volume
- 354
- Issue
- 7
- Pages
- 769-822
- ISSN
- 0003-3804 (ISSN-L)
- 1521-3889
- OpenAlex
- W2154432883
- Cited by
- 3,468
- References
- 0
- Citations by year
- 2026: 211 · 2025: 265 · 2024: 319 · 2023: 211 · 2022: 159 · 2021: 196 · 2020: 180 · 2019: 206 · 2018: 148 · 2017: 140 · 2016: 121 · 2015: 108 · 2014: 101 · 2013: 97 · 2012: 75
- FWCI
- 133.82
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Annalen der Physik (publishedVersion)
- Vieweg+Teubner eBooks (publishedVersion)
- CUNY Academic Works (City University of New York) (submittedVersion)
- University of Michigan Library Repository (submittedVersion, public-domain)
- Common Library Network (Der Gemeinsame Bibliotheksverbund) (submittedVersion)
- Zenodo (CERN European Organization for Nuclear Research) (submittedVersion, public-domain)
- Intranda
- Zenodo (CERN European Organization for Nuclear Research)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- general relativity, special relativity, principle of relativity, Galilean relativity, inertial frames
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