Masslessness and light-cone propagation in 3+2 de Sitter and 2+1 Minkowski spaces

1986 ◽  
Vol 33 (2) ◽  
pp. 415-420 ◽  
Author(s):  
M. Flato ◽  
C. Fronsdal ◽  
J. P. Gazeau
Keyword(s):  
Light Cone ◽  
De Sitter ◽  
Minkowski Spaces

scholarly journals Two dimensional anti-de Sitter space and discrete light cone quantization

1999 ◽  
Vol 468 (1-2) ◽  
pp. 52-57 ◽  
Author(s):  
Jin-Ho Cho ◽  
Taejin Lee ◽  
Gordon Semenoff
Keyword(s):  
Light Cone ◽  
De Sitter Space ◽  
Two Dimensional ◽  
De Sitter ◽  
Light Cone Quantization

Trapped submanifolds contained into a null hypersurface of de Sitter spacetime

2018 ◽  
Vol 20 (08) ◽  
pp. 1750059 ◽  
Author(s):  
Luis J. Alías ◽  
Verónica L. Cánovas ◽  
Marco Rigoli
Keyword(s):  
Steady State ◽  
State Space ◽  
Light Cone ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Round Sphere ◽  
Codimension Two ◽  
The Past ◽  
Sitter Spacetime ◽  
Spacelike Submanifolds

We study codimension two trapped submanifolds contained into one of the two following null hypersurfaces of de Sitter spacetime: (i) the future component of the light cone, and (ii) the past infinite of the steady state space. For codimension two compact spacelike submanifolds in the light cone we show that they are conformally diffeomorphic to the round sphere. This fact enables us to deduce that the problem of characterizing compact marginally trapped submanifolds into the light cone is equivalent to solving the Yamabe problem on the round sphere, allowing us to obtain our main classification result for such submanifolds. We also fully describe the codimension two compact marginally trapped submanifolds contained into the past infinite of the steady state space and characterize those having parallel mean curvature field. Finally, we consider the more general case of codimension two complete, non-compact, weakly trapped spacelike submanifolds contained into the light cone.

Space–Time Defects: Torsion Walls

1997 ◽  
Vol 12 (27) ◽  
pp. 2005-2009 ◽  
Author(s):  
L. C. Garcia de Andrade
Keyword(s):  
De Sitter Space ◽  
Space Time ◽  
Geodesic Motion ◽  
De Sitter ◽  
Gravitational Fields ◽  
Test Particles ◽  
Minkowski Spaces ◽  
Static Torsion

The geometry of torsion defects in Weitzenböck space–time is investigated. Conformal de Sitter space–time outside the defect is obtained. Geodesic motion of test particles outside the torsion wall is given. Torsion defect wall is shown to have repulsive gravitational fields. Static torsion defect is obtained by gluing together two half Minkowski spaces across a torsion wall junction.

scholarly journals Doubly elliptic strings on the (anti) de Sitter manifold

2015 ◽  
Vol 12 (03) ◽  
pp. 1550032
Author(s):  
Michel Gaudin ◽  
Ugo Moschella
Keyword(s):  
Constant Curvature ◽  
Light Cone ◽  
Theta Functions ◽  
One Dimension ◽  
Two Dimensional ◽  
De Sitter ◽  
New Class ◽  
Virasoro Constraints ◽  
Jacobi Theta Functions

We present a new class of elliptic-like strings on two-dimensional manifolds of constant curvature. Our solutions are related to a class of identities between Jacobi theta functions and to the geometry of the light-cone in one dimension more. We show in particular that two well-known fundamental identities among theta functions have a natural interpretation as expressing the Virasoro constraints of dS or AdS strings.

scholarly journals Recovering the cosmological constant from affine geometry

2019 ◽  
Vol 16 (10) ◽  
pp. 1950161 ◽  
Author(s):  
Wladimir-Georges Boskoff ◽  
Salvatore Capozziello
Keyword(s):  
Cosmological Constant ◽  
Physical Properties ◽  
Gravitational Potential ◽  
De Sitter Space ◽  
Gravity Theory ◽  
De Sitter ◽  
Field Equations ◽  
Dimension Formula ◽  
Minkowski Spaces ◽  
Geometric Nature

A gravity theory without masses can be constructed in Minkowski spaces using a geometric Minkowski potential. The related affine spacelike spheres can be seen as the regions of the Minkowski spacelike vectors characterized by a constant Minkowski gravitational potential. These spheres point out, for each dimension [Formula: see text], spacetime models, the de Sitter ones, which satisfy Einstein’s field equations in absence of matter. In other words, it is possible to generate geometrically the cosmological constant. Even if a lot of possible parameterizations have been proposed, each one highlighting some geometric and physical properties of the de Sitter space, we present here a new natural parameterization which reveals the intrinsic geometric nature of cosmological constant relating it with the invariant affine radius coming from the so-called Minkowski–Tzitzeica surfaces theory.

scholarly journals Galilean covariance and the spin-orbit interaction

2020 ◽  
Vol 9 (1) ◽  
Author(s):  
G. X. A. Petronilo ◽  
S. C. Ulhoa ◽  
A. E. Santana
Keyword(s):  
Dirac Equation ◽  
External Field ◽  
Light Cone ◽  
Orbit Interaction ◽  
Spin Orbit ◽  
Covariant Form ◽  
De Sitter ◽  
Hartree Fock ◽  
Standard Procedures ◽  
Galilean Covariance

We have used the Pauli-Schr\"{o}dinger equation in its covariant form, that is, written in the light-cone of a five-dimensional De Sitter space-time. Following standard procedures, the analogue of the Dirac equation is derived, standing for a galilean spin 1/2 particle in the presence of a external field. Some results are important to be mention, such as the expected g-factor, but in a galilean (not Lorentz) context. In addition, considering interaction, the Pauli-Hartree-Fock equation is obtained following in parallel to the ideas used to construct the Dirac-Hartree-Fock equation.

scholarly journals Umbilicity of space-like submanifolds of Minkowski space

2004 ◽  
Vol 134 (2) ◽  
pp. 375-387 ◽  
Author(s):  
Shyuichi Izumiya ◽  
Donghe Pei ◽  
María del Carmen Romero Fuster
Keyword(s):  
Minkowski Space ◽  
Light Cone ◽  
Three Dimensional ◽  
De Sitter ◽  
Normal Field ◽  
Conformal Flatness ◽  
Curvature Ellipse

We study some properties of space-like submanifolds in Minkowski n-space, whose points are all umbilic with respect to some normal field. As a consequence of these and some results contained in a paper by Asperti and Dajczer, we obtain that being ν-umbilic with respect to a parallel light-like normal field implies conformal flatness for submanifolds of dimension n − 2 ≥ 3. In the case of surfaces, we relate the umbilicity condition to that of total semi-umbilicity (degeneracy of the curvature ellipse at every point). Moreover, if the considered normal field is parallel, we show that it is everywhere time-like, space-like or light-like if and only if the surface is included in a hyperbolic 3-space, a de Sitter 3-space or a three-dimensional light cone, respectively. We also give characterizations of total semi-umbilicity for surfaces contained in hyperbolic 4-space, de Sitter 4-space and four-dimensional light cone.

Light-cone QCD on the lattice

2000 ◽  
Vol 83-84 (1-3) ◽  
pp. 116-120 ◽  
Author(s):  
S Dalley
Keyword(s):  
Light Cone
Sign in / Sign up

Export Citation Format

Share Document