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Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
- Source :
- Physics Letters, Physics Letters B, Vol 823, Iss, Pp 136735-(2021)
- Publication Year :
- 2021
- Publisher :
- Elsevier, 2021.
-
Abstract
- In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian Carroll symmetry is necessary in order for the invariant tensor of the ultra-relativistic Maxwellian algebra to be non-degenerate. Consequently, we discuss the origin of the aforementioned algebra and theory as a flat limit. We show that the theoretical setup with cosmological constant yielding the extended Maxwellian Carroll Chern-Simons gravity in the vanishing cosmological constant limit is based on an enlarged extended version of the Carroll symmetry. Indeed, the latter exhibits a non-degenerate invariant tensor allowing the proper construction of a Chern-Simons gravity theory which reproduces the extended Maxwellian Carroll gravity in the flat limit.<br />18 pages
- Subjects :
- Physics
High Energy Physics - Theory
Nuclear and High Energy Physics
Gravity (chemistry)
Spacetime
QC1-999
FOS: Physical sciences
Order (ring theory)
General Relativity and Quantum Cosmology (gr-qc)
Cosmological constant
Symmetry (physics)
General Relativity and Quantum Cosmology
High Energy Physics::Theory
High Energy Physics - Theory (hep-th)
Limit (mathematics)
Tensor
Invariant (mathematics)
Mathematical physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physics Letters
- Accession number :
- edsair.doi.dedup.....774c5e190c894fee6cc50e4a7b01aecb