Algebraic classification of gravitational fields in five-dimensional space-time

1995 ◽  
Vol 38 (3) ◽  
pp. 284-288
Author(s):  
A. M. Baranov
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Algebraic Classification ◽  
Gravitational Fields ◽  
Dimensional Space Time

scholarly journals A UNIFORM MODEL OF THE MASSIVE SPINNING PARTICLE IN ANY DIMENSION

2000 ◽  
Vol 15 (27) ◽  
pp. 4287-4299 ◽  
Author(s):  
S. L. LYAKHOVICH ◽  
A. A. SHARAPOV ◽  
K. M. SHEKHTER
Keyword(s):  
General Model ◽  
Dimensional Space ◽  
Massive Particle ◽  
Arbitrary Spin ◽  
Space Time ◽  
Spinning Particle ◽  
Gravitational Fields ◽  
Dimensional Space Time ◽  
Uniform Model

The general model of an arbitrary spin massive particle in any dimensional space–time is derived on the basis of Kirillov–Kostant–Souriau approach. It is shown that the model allows consistent coupling to an arbitrary background of electromagnetic and gravitational fields.

scholarly journals EXACT SOLUTIONS OF THE REISSNER–NORDSTRÖM TYPE IN EINSTEIN–YANG–MILLS SYSTEMS WITH ARBITRARY GAUGE GROUPS AND SPACE–TIME DIMENSIONS

1996 ◽  
Vol 11 (28) ◽  
pp. 4999-5014 ◽  
Author(s):  
GERD RUDOLPH ◽  
TORSTEN TOK ◽  
IGOR P. VOLOBUEV
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Abelian Gauge ◽  
Gauge Groups ◽  
Yang Mills ◽  
Gravitational Fields ◽  
Dimensional Reduction Method ◽  
Dimensional Space Time ◽  
Spatial Rotations ◽  
Arbitrary Gauge

We present a class of solutions in Einstein–Yang–Mills systems with arbitrary gauge groups and space–time dimensions, which are symmetric under the action of the group of spatial rotations. Our approach is based on the dimensional reduction method for gauge and gravitational fields and relates symmetric Einstein–Yang–Mills solutions to certain solutions of two-dimensional Einstein–Yang–Mills–Higgs-dilaton theory. Application of this method to four-dimensional spherically symmetric (pseudo-)Riemannian space–time yields, in particular, new solutions describing both a magnetic and an electric charge at the center of a black hole. Moreover, we give an example of a solution with non-Abelian gauge group in six-dimensional space–time. We also comment on the stability of the obtained solutions.

scholarly journals CLASSIFICATION OF STANDARD MODEL PARTICLES IN E6 ORBIFOLD GRAND UNIFIED THEORIES

2013 ◽  
Vol 28 (14) ◽  
pp. 1350055 ◽  
Author(s):  
YOSHIHARU KAWAMURA ◽  
TAKASHI MIURA
Keyword(s):  
Standard Model ◽  
Dimensional Space ◽  
Space Time ◽  
Text Representation ◽  
Zero Modes ◽  
Grand Unified Theories ◽  
The Standard Model ◽  
Unified Theories ◽  
Dimensional Space Time

We classify the standard model fermions, which originate from bulk fields of the 27 or [Formula: see text] representation after orbifold breaking, in E6 grand unified theories on five- or six-dimensional space–time, under the condition that q, ec and uc survive as zero modes for each 27 or [Formula: see text]. We study features of supersymmetric SU(5) ×U(1)1 ×U(1)2 model.

Topology knots and hierarchy problem

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Dimensional Space ◽  
Space Time ◽  
Elementary Particles ◽  
Hierarchy Problem ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

Electromagnetic Casimir effect of concentric cylinders in (D + 1)-dimensional space–time

2019 ◽  
Vol 34 (08) ◽  
pp. 1950035
Author(s):  
Chun Yong Chew ◽  
Yong Kheng Goh
Keyword(s):  
Boundary Condition ◽  
Interaction Energy ◽  
Casimir Effect ◽  
Dimensional Space ◽  
Order Term ◽  
Perturbation Technique ◽  
Space Time ◽  
Concentric Cylinders ◽  
Dimensional Minkowski Space ◽  
Dimensional Space Time

We study the electromagnetic Casimir interaction energy between two parallel concentric cylinders in [Formula: see text]-dimensional Minkowski space–time for different combinations of perfectly conducting boundary condition and infinitely permeable boundary condition. We consider two cases where one cylinder is outside each other and where one is inside the other. By solving the equation of motion and computing the TGTG formulas, explicit formulas for the Casimir interaction energy can be derived and asymptotic behavior of the Casimir interaction energy in the nanoregime is calculated by using perturbation technique. We computed the interaction energy analytically up to next-to-leading order term.

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