Three-dimensional Newtonian gravity with cosmological constant and torsion

Abstract

In this paper we present an alternative cosmological extension of the three-dimensional extended Newtonian Chern-Simons gravity by switching on the torsion. The theory is obtained as a non-relativistic limit of an enhancement and $U(1)$-enlargement of the so-called teleparallel algebra and can be seen as the teleparallel analogue of the Newtonian gravity theory. The infinite-dimensional extension of our result is also explored through the Lie algebra expansion method. An infinite-dimensional torsional Galilean gravity model is presented which in the vanishing cosmological constant limit reproduces the infinite-dimensional extension of the Galilean gravity theory.

19 pages

References in corpus (16)

• Newtonian Gravity and the Bargmann Algebra
• Expanding Lie (super)algebras through abelian semigroups
• Lifshitz Space-Times for Schroedinger Holography
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• (2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
• A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions
• Three-dimensional supergravity reloaded
• N=1 Supergravity and Maxwell superalgebras
• Newton-Cartan Gravity and Torsion
• Eleven-Dimensional Gauge Theory for the M Algebra as an Abelian Semigroup Expansion of osp(32|1)
• Minimal D=4 supergravity from the superMaxwell algebra
• Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Three-dimensional non-relativistic supergravity and torsion

Cited by in corpus (6)

• Review on Non-Relativistic Gravity
• Extended Kinematical 3D Gravity Theories
• Non-relativistic gravity theories in four spacetime dimensions
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• Three-dimensional non-relativistic Hietarinta supergravity
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion