Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
The Carroll group was originally introduced by Lévy-Leblond (1965 Ann. Inst. Henri
Poincaré 3 1) by considering the contraction of the Poincaré group as c→ 0. In this paper an …
Poincaré 3 1) by considering the contraction of the Poincaré group as c→ 0. In this paper an …
Conformal Carroll groups and BMS symmetry
C Duval, GW Gibbons… - Classical and Quantum …, 2014 - iopscience.iop.org
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'Stringy'Newton–Cartan gravity
We construct a'stringy'version of Newton–Cartan gravity in which the concept of a Galilean
observer plays a central role. We present both the geodesic equations of motion for a …
observer plays a central role. We present both the geodesic equations of motion for a …
Non-relativistic and ultra-relativistic expansions of three-dimensional spin-3 gravity theories
A bstract In this paper, we present novel and known non-relativistic and ultra-relativistic spin-
3 algebras, by considering the Lie algebra expansion method. We start by applying the …
3 algebras, by considering the Lie algebra expansion method. We start by applying the …
Cosmological aspects of the Eisenhart–Duval lift
A cosmological extension of the Eisenhart–Duval metric is constructed by incorporating a
cosmic scale factor and the energy-momentum tensor into the scheme. The dynamics of the …
cosmic scale factor and the energy-momentum tensor into the scheme. The dynamics of the …
Non-relativistic three-dimensional supergravity theories and semigroup expansion method
A bstract In this work we present an alternative method to construct diverse non-relativistic
Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply …
Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply …
Infinite-dimensional algebras as extensions of kinematic algebras
J Gomis, A Kleinschmidt - Frontiers in Physics, 2022 - frontiersin.org
Kinematic algebras can be realised on geometric spaces and constrain the physical models
that can live on these spaces. Different types of kinematic algebras exist and we consider …
that can live on these spaces. Different types of kinematic algebras exist and we consider …
Three-dimensional (higher-spin) gravities with extended Schrödinger and l-conformal Galilean symmetries
A bstract We show that an extended 3D Schrödinger algebra introduced in [1] can be
reformulated as a 3D Poincaré algebra extended with an SO (2) R-symmetry generator and …
reformulated as a 3D Poincaré algebra extended with an SO (2) R-symmetry generator and …
Three-dimensional non-relativistic extended supergravity with cosmological constant
In this paper, we present two novel non-relativistic superalgebras which correspond to
supersymmetric extensions of the enlarged extended Bargmann algebra. The three …
supersymmetric extensions of the enlarged extended Bargmann algebra. The three …
Hamiltonian formulation for perfect fluid equations with the ℓ–conformal Galilei symmetry
T Snegirev - Journal of Geometry and Physics, 2023 - Elsevier
The Hamiltonian formulation for perfect fluid equations with the ℓ-conformal Galilei symmetry
is proposed. For an arbitrary half-integer value of the parameter ℓ, the Hamilton and non …
is proposed. For an arbitrary half-integer value of the parameter ℓ, the Hamilton and non …