Energy conditions in the Jordan frame
Open accessAbstract
The null energy condition, in its usual form, can appear to be violated by transformations in the conformal frame of the metric. We propose a generalization of the form of the null energy condition to the Jordan frame, in which matter is non-minimally coupled, which reduces to the familiar form in the Einstein frame. Using our version of the null energy condition, we provide a direct proof of the second law of black hole thermodynamics in the Jordan frame.
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Stability arguments in such theories are complicated and depend on external background matter [48].
“Stability arguments in such theories are complicated and depend on external background matter [48].”
From Past-completeness of inflationary spacetimes (2023) · cites this paper as [48]
The Introduction discusses ambiguities in energy conditions under non-minimal couplings and conformal transformations, while the Discussion addresses how to generalize those conditions. Neither section addresses stability arguments depending on external background matter. Searches for “stability” and “background matter” found no passage establishing that claim. (LLM, conf=0.73)
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References 22 · Cited by 25
Research works printed but not linked: 5
- Deffayet C, Pujolas O, Sawicki I and Vikman A 2010 Imperfect dark energy from kinetic gravity braiding J. Cosmol. Astropart. Phys. JCAP10(2010)026 (arXiv:1008.0048 [hep-th]) · DOI · Paper page
- Arkani-Hamed N, Cheng H-C, Luty M A and Mukohyama S 2004 Ghost condensation and a consistent infrared modification of gravity J. High Energy Phys. JHEP05(2004)074 (arXiv:hep-th/0312099) · DOI · Paper page
- Easson D A, Sawicki I and Vikman A 2011 G-Bounce J. Cosmol. Astropart. Phys. JCAP11(2011)021 (arXiv:1109.1047 [hep-th]) · DOI · Paper page
- Cai Y-F, Easson D A and Brandenberger R 2012 Towards a nonsingular bouncing cosmology J. Cosmol. Astropart. Phys. JCAP08(2012)020 (arXiv:1206.2382 [hep-th]) · DOI · Paper page
- Visser M and Barcelo C 2000 Energy conditions and their cosmological implications arXiv:gr-qc/0001099 · arXiv
- Authors
- Chatterjee, S., Easson, D. A., & Parikh, M.
- Affiliations
- Arizona State University (US)
- ORCID
- Parikh, Maulik
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2013-11-08
- Volume
- 30
- Issue
- 23
- Pages
- 235031
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W1490490293
- Cited by
- 25
- References
- 22
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 1 · 2023: 1 · 2022: 1 · 2021: 3 · 2018: 2 · 2017: 2 · 2016: 2 · 2015: 6 · 2014: 2
- FWCI
- 1.80
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DESC0008016)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- null energy condition, energy conditions, Jordan frame, conformal mapping, non-minimal coupling, Einstein frame, black hole thermodynamics, modified gravity
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