Electrodynamics in arbitrary space-time coordinate systems

1974 ◽  
Vol 17 (12) ◽  
pp. 1656-1660
Author(s):  
Ts. I. Gutsunaev ◽  
V. D. Kazachkov ◽  
Ya. P. Terletskli
Keyword(s):  
Space Time ◽  
Coordinate Systems ◽  
Time Coordinate ◽  
Arbitrary Space

scholarly journals Hypergeometric presentation for one-loop contributing to H → Z γ

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Khiem Hong Phan ◽  
Dzung Tri Tran
Keyword(s):  
Hypergeometric Functions ◽  
Decay Channel ◽  
Form Factors ◽  
Space Time ◽  
Decay Process ◽  
Time Dimension ◽  
Higgs Decay ◽  
Arbitrary Space ◽  
First Time ◽  
Loop Form

Abstract In this paper, new analytic formulas for one-loop contributing to Higgs decay channel $H \rightarrow Z\gamma$ are presented in terms of hypergeometric functions. The calculations are performed by following the technique for tensor one-loop reduction developed in [A. I. Davydychev, Phys. Lett. B 263 (1991) 107]. For the first time, one-loop form factors for the decay process are shown which are valid at arbitrary space–time dimension $d$.

scholarly journals Ray-tracing and polarized radiative transfer in General Relativity

2016 ◽  
Vol 12 (S324) ◽  
pp. 347-350
Author(s):  
Pauli Pihajoki ◽  
Antti Rantala ◽  
Peter H. Johansson
Keyword(s):  
General Relativity ◽  
Radiative Transfer ◽  
Ray Tracing ◽  
Numerical Solutions ◽  
Space Time ◽  
Arbitrary Space

AbstractWe discuss the problem of polarized radiative transfer in general relativity. We present a set of equations suitable for solving the problem numerically for the case of an arbitrary space-time metric, and show numerical solutions to example problems. The solutions are computed with a new ray-tracing code, Arcmancer, developed by the authors.

Sectional Curvature and Chaos in Dynamical Problems: Toward the Invariant Measure of Chaos in Hamiltonian Systems

1993 ◽  
Vol 46 (7) ◽  
pp. 427-437 ◽  
Author(s):  
Marek Szydłowski ◽  
Adam Krawiec
Keyword(s):  
General Relativity ◽  
Invariant Measure ◽  
Coordinate System ◽  
Sectional Curvature ◽  
Hamiltonian Systems ◽  
Invariant Theory ◽  
Space Time ◽  
Gauge Invariant ◽  
Time Coordinate ◽  
Physical Description

Chaotic phenomena in general relativity are investigated. In relativistic astrophysical problems no space-time coordinate system is privileged in any way as far as the physical description of phenomena is concerned. Effects which depend on the choice of the particular coordinate system should be treated as an artifact of the incorrect methods. To avoid such difficulties the gauge invariant theory of chaos is proposed.

scholarly journals Homothetic maps of distinguishing space-times

1990 ◽  
Vol 42 (3) ◽  
pp. 483-486
Author(s):  
Jin-Hwan Kim
Keyword(s):  
Space Time ◽  
Arbitrary Space

We show that if (M, g) is a distinguishing space-time, then any distance homothetic map from (M, g) onto arbitrary space-time (M′, g′) is a homothetic map; in particular, every distance preserving map is an isometry.

scholarly journals PHASE STRUCTURE OF FOUR-FERMION THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL IN ARBITRARY DIMENSIONS

1995 ◽  
Vol 10 (15) ◽  
pp. 2241-2268 ◽  
Author(s):  
T. INAGAKI ◽  
T. KOUNO ◽  
T. MUTA
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Phase Structure ◽  
Chemical Potential ◽  
Expansion Method ◽  
Space Time ◽  
Second Order ◽  
Time Dimension ◽  
Arbitrary Space ◽  
Second Order Phase Transition

The phase structure of four-fermion theories is thoroughly investigated with varying temperature and chemical potential for arbitrary space-time dimensions (2≤D<4) by using the 1/N expansion method. It is shown that the chiral symmetry is restored in the theory under consideration for sufficiently high temperature and/or chemical potential. The critical line dividing the symmetric and the broken phase is given explicitly. It is found that for space-time dimension 2≤D<3 both the first order and the second order phase transition occur depending on the value of the temperature and chemical potential while for 3≤D<4 only the second order phase transition exists.

Numerical construction of space-time

1979 ◽  
Vol 368 (1732) ◽  
pp. 15-16 ◽  
Keyword(s):  
Scalar Function ◽  
Space Time ◽  
Point Of View ◽  
Hamiltonian Approach ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Time Coordinate ◽  
Natural Approach ◽  
Spatial Coordinates ◽  
Practical Algorithm

Traditional analytic methods have not been powerful enough to solve for strongfield time-dependent solutions of the nonlinear Einstein field equations. For this reason, numerical solution of the equations seemed to be a natural approach. Building on the earlier work inspired by DeWitt & Misner, my colleagues and I have developed a practical algorithm for constructing space-times. The point of view is that space-time is decomposed into spacelike time slices and a congruence of curves threading these slices. The time coordinate is that scalar function which is constant on each time slice, while spatial coordinates are constant along the members of the congruence. The systematic 3+1 Hamiltonian approach was exhaustively studied by Arnowitt et al . (1962); the application to solution of the field equations was recently stressed by Smarr & York (1978 a, b ).

WORMHOLES OF K-ESSENCE IN ARBITRARY SPACE–TIME DIMENSIONS

2008 ◽  
Vol 23 (20) ◽  
pp. 3165-3175 ◽  
Author(s):  
J. ESTEVEZ-DELGADO ◽  
T. ZANNIAS
Keyword(s):  
Energy Momentum Tensor ◽  
Opposite Sign ◽  
Momentum Tensor ◽  
Space Time ◽  
Parameter Family ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Asymptotically Flat ◽  
Arbitrary Space ◽  
Two Parameter

We consider a K-essence involving a massless scalar field Φ minimally coupled to Einstein gravity in D ≥ 4 space–time dimensions. This theory admits a two-parameter family of spherical wormholes representing two asymptotically-flat universes connected via a (D-2)-dimensional spherical throat. The ADM masses of the two ends are unequal and of opposite sign except for a one-parameter family where both ends possess vanishing ADM masses. By cut and paste techniques, we construct a two-parameter family of wormholes where the ends possess equal and positive ADM masses but the throat is a (D-1)-dimensional thin-shell. The structure of the surface energy–momentum tensor is also analyzed.

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