The generalized Taub-NUT congruence in Minkowski spaces

Robinson, Ivor; Wilson, Edward P.

doi:10.1007/bf00756258

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Introduction2

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2015

2022

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Cited by 5 publications

(2 citation statements)

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“…In particular he found the solution (3). The PDE (4) appears in relation to the study of shear-free congruences of null geodesics in a Lorentzian geometry by Robinson and Wilson in [7]. In http://www.casjournal.com/content/1/1/2 particular, they establish a correspondence between the Taub-NUT congruence and a CR manifold that is equivalent to our CR manifold sinh v = e −v |z| 2 .…”

Section: Introductionmentioning

confidence: 99%

Explicit description of spherical rigid hypersurfaces in "Equation missing"

Ezhov

Schmalz

2015

Complex Analysis and its Synergies

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Section: Introductionmentioning

confidence: 99%

Explicit description of spherical rigid hypersurfaces in "Equation missing"

Ezhov

Schmalz

2015

Complex Analysis and its Synergies

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“…There is a long tradition on applications of geometrical methods in physics; over the years branches as Hamiltonian dynamics, geometric optics, fluid dynamics and General Relativity have benefited from the techniques developed with a geometric perspective [1][2][3][4][5][6]. In the case of pseudo-Riemannian manifolds, this becomes even more true with the use of para-contact geometry [7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Contact Geometry in Superconductors and New Massive Gravity

Flores-Alfonso,

Lopez-Monsalvo,

Maceda

2020

Preprint

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The defining property of every three-dimensional ε-contact manifold is shown to be equivalent to requiring the fulfillment of London's equation in 2+1 electromagnetism. To illustrate this point, we consider S 3 equipped with a contact structure together with an associated metric tensor such that the canonical generators of the contact distribution are null. The resulting Lorentzian metric is shown to be a vacuum solution of three-dimensional massive gravity. Moreover, by coupling the New Massive Gravity action to Maxwell-Chern-Simons we obtain a class of charged solutions stemming directly from the contact metric structure. Finally, we repeat the exercise for the Abelian Higgs theory.

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