2018/05/09 by Claudio Bunster, Bunster, Claudio, Andrés Gomberoff +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Casimir effect #Classical mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometry #Gravitation #High Energy Physics - Theory (hep-th) #Homogeneous space #Hyperboloid #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum and Classical Electrodynamics #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1805.03728
To appear in "Tullio Regge: an eclectic genius, from quantum gravity to computer play", Eds. L. Castellani, A. Ceresole, R. D'Auria and P. Fre' (World Scientific), 38 pages, 3 figures. In this version the "hourglass'', a two sheeted surface has been introduced; it allows "news'' in the canonical realization of the BMS symmetry. BMS invariance and electric magnetic duality have been intertwined
openalex publication_date 2018/05/09 · arxiv created 2019/05/18 · arxiv updated 2019/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a new application of the Regge-Teitelboim method for treating symmetries which are defined asymptotically. It may be regarded as complementary to the one in their original 1974 paper. The formulation is based on replacing an asymptotic plane by the two--sheeted ``hourglass" shaped surface obtained by joining smoothly an incoming hyperboloid with an outgoing one. The hyperboloids have a fixed radius, and as one moves the center of the hourglass along the time axis one covers the whole of spacetime. The motivation is to study radiation, and the hourglass is well suited to the task because it is asymptotically null, and thus is able to register the details of the process. A simple parity condition for the fields on the hyperboloid is given. It specifies that as much radiation as is coming in as it is going out. With it, a Hamiltonian formulation of the symmetry of Bondi, van der Burg, Metzner and Sachs is developed fir both electromagnetism and gravitation. It is indispensable for the construction to have electric--magnetic duality asymptotically. For gravitation, a formulation for the linearized theory on the hourglass has not been explicitly constructed; but enough rudiments of it are given so that the main results can be established. A definition for angular momentum wish is conserved (for which the ``magnetic sector'' is essential) is given. It incorporates an interrelationship between spin and charge. For the gravitational field, Taub-NUT space appears as the analog of a magnetic pole.