Results 61 to 70 of about 4,823,150 (306)

On Isoperimetric Inequalities in Minkowski Spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2010
This paper gives a collection of isoperimetric-type inequalities involving convex bodies, their intersection and projection bodies, polars and Steiner symmetrals, and states some conjectures and open questions. It is shown how some of these inequalities are related to classic isoperimetric problems in Minkowski geometry.
Mustafaev Zokhrab, Martini Horst
openaire   +4 more sources

Vacuum thermal effects in flat space-time from conformal quantum mechanics

open access: yesJournal of High Energy Physics, 2021
The generators of radial conformal symmetries in Minkowski space-time can be mapped to the generators of time evolution in conformal quantum mechanics.
Michele Arzano
doaj   +1 more source

Fuchsian convex bodies: basics of Brunn--Minkowski theory

open access: yes, 2012
The hyperbolic space $ \H^d$ can be defined as a pseudo-sphere in the $(d+1)$ Minkowski space-time. In this paper, a Fuchsian group $\Gamma$ is a group of linear isometries of the Minkowski space such that $\H^d/\Gamma$ is a compact manifold.
B. Maskit   +25 more
core   +2 more sources

Stability of Minkowski Space-Time with a Translation Space-Like Killing Field [PDF]

open access: yes, 2015
In this paper we prove the nonlinear stability of Minkowski space-time with a translation Killing field. In the presence of such a symmetry, the $$3+1$$3+1 vacuum Einstein equations reduce to the $$2+1$$2+1 Einstein equations with a scalar field. We work
Cécile Huneau
semanticscholar   +1 more source

Higher-Rank Fields and Currents

open access: yes, 2016
$Sp(2M)$ invariant field equations in the space ${\cal M}_M$ with symmetric matrix coordinates are classified. Analogous results are obtained for Minkowski-like subspaces of ${\cal M}_M$ which include usual $4d$ Minkowski space as a particular case.
Gelfond, O. A., Vasiliev, M. A.
core   +1 more source

Realizations of $$\kappa $$κ-Minkowski space, Drinfeld twists, and related symmetry algebras [PDF]

open access: yes, 2015
Realizations of $$\kappa $$κ-Minkowski space linear in momenta are studied for time-, space- and light-like deformations. We construct and classify all such linear realizations and express them in terms of the $$\mathfrak {gl}(n)$$gl(n) generators. There
T. Jurić, S. Meljanac, Danijel Pikutić
semanticscholar   +1 more source

Deformed Special Relativity and Deformed Symmetries in a Canonical Framework

open access: yes, 2007
In this paper we have studied the nature of kinematical and dynamical laws in $\kappa $-Minkowski spacetime from a new perspective: the canonical phase space approach. We discuss a particular form of $\kappa$-Minkowski phase space algebra that yields the
C. Rovelli   +5 more
core   +1 more source

Celestial holography and AdS 3/CFT 2 from a scaling reduction of twistor space

open access: yesJournal of High Energy Physics, 2023
Celestial amplitudes obtained from Mellin transforming 4d momentum space scattering amplitudes contain distributional delta functions, hindering the application of conventional CFT techniques.
Wei Bu, Sean Seet
doaj   +1 more source

Cauchy Horizons, Thermodynamics and Closed Time-like Curves in Planar Supersymmetric Space-times

open access: yes, 1992
We study geodesically complete, singularity free space-times induced by supersymmetric planar domain walls interpolating between Minkowski and anti-de Sitter ($AdS_4$) vacua.
A. Vilenkin   +28 more
core   +2 more sources

Comparison of particle properties in Kerr metric and in rotating coordinates [PDF]

open access: yes, 2017
Properties of particles in Kerr metric are compared with properties of particles in rotating coordinates in Minkowski space-time. It is shown that particles with negative and zero energies existing in the ergosphere of the rotating black hole also exist ...
Grib, A. A., Pavlov, Yu. V.
core   +2 more sources

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