scholarly journals Raychaudhuri-based reconstruction of anisotropic Einstein–Maxwell equation in 1+3 covariant formalism of f(R)-gravity

2020 ◽  
Vol 80 (5) ◽  
Author(s):  
Behzad Tajahmad
Keyword(s):  
Maxwell Equation ◽  
Covariant Formalism

scholarly journals New ideas for handling of loop and angular integrals in D-dimensions in QCD

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Valery E. Lyubovitskij ◽  
Fabian Wunder ◽  
Alexey S. Zhevlakov
Keyword(s):  
Computer Algebra ◽  
Cross Sections ◽  
Orthogonal Basis ◽  
Computer Algebra Systems ◽  
Covariant Formalism ◽  
Linear Combinations ◽  
Recursion Relations ◽  
New Ideas ◽  
Rotational Invariant ◽  
Geometric Picture

Abstract We discuss new ideas for consideration of loop diagrams and angular integrals in D-dimensions in QCD. In case of loop diagrams, we propose the covariant formalism of expansion of tensorial loop integrals into the orthogonal basis of linear combinations of external momenta. It gives a very simple representation for the final results and is more convenient for calculations on computer algebra systems. In case of angular integrals we demonstrate how to simplify the integration of differential cross sections over polar angles. Also we derive the recursion relations, which allow to reduce all occurring angular integrals to a short set of basic scalar integrals. All order ε-expansion is given for all angular integrals with up to two denominators based on the expansion of the basic integrals and using recursion relations. A geometric picture for partial fractioning is developed which provides a new rotational invariant algorithm to reduce the number of denominators.

scholarly journals COMPUTATIONAL PERFORMANCE OF A WEIGHTED REGULARIZED MAXWELL EQUATION FINITE ELEMENT FORMULATION

2013 ◽  
Vol 136 ◽  
pp. 61-77 ◽  
Author(s):  
Ruben Otin ◽  
Luis E. Garcia-Castillo ◽  
Ignacio Martinez-Fernandez ◽  
Daniel Garcia-Donoro
Keyword(s):  
Finite Element ◽  
Maxwell Equation ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Computational Performance

scholarly journals Dopping Effect on Optical Constant of Poly (Vinyl Chloride)

2011 ◽  
Vol 8 (4) ◽  
pp. 976-981
Author(s):  
Baghdad Science Journal
Keyword(s):  
Dielectric Constant ◽  
Absorption Coefficient ◽  
Vinyl Chloride ◽  
Maxwell Equation ◽  
Extinction Coefficient ◽  
Refraction Index ◽  
Optical Parameters ◽  
Optical Studies ◽  
Poly Vinyl Chloride ◽  
Salt Complex

Thick films of poly(vinyl chloride)(PVC)& PVC doped with Zn(etx)2 salt complex have been prepared by cast method with fixed thickness almost (120±5) Microns. Optical studies were carried out in the wavelengths region(200-900)nm based on absorption & transmition measurement. Optical parameters such as absorption coefficient(?) ,refraction index(n) and extinction coefficient(K) were observed to be effected by adding the dopant.Electrical parameters such as real(?)& imaginary(?) part of dielectric constant were also calculated part of dielectric constant were also calculated from the optical parameters using Maxwell equation.

A Gödel-type solution of the Einstein–Maxwell equation

1968 ◽  
Vol 46 (21) ◽  
pp. 2361-2362 ◽  
Author(s):  
S. J. Wilson
Keyword(s):  
Maxwell Equation ◽  
Type Solution

A Gödel-type solution of the Einstein–Maxwell equation is presented, using the equivalent Rainich equations.

scholarly journals ELECTRIC FORCE LINES OF THE DOUBLE REISSNER–NORDSTROM EXACT SOLUTION

2008 ◽  
Vol 17 (08) ◽  
pp. 1159-1177 ◽  
Author(s):  
ARMANDO PAOLINO ◽  
MARCO PIZZI
Keyword(s):  
Exact Solution ◽  
Black Hole ◽  
Electric Fields ◽  
Maxwell Equation ◽  
Naked Singularity ◽  
Extreme Case ◽  
The Other ◽  
Electric Force ◽  
Coordinate Systems ◽  
Equal Sign

Recently Alekseev and Belinski have presented a new exact solution to the Einstein–Maxwell equation which describes two Reissner–Nordstrom (RN) sources in reciprocal equilibrium (no struts or strings); one source is a naked singularity, the other is a black hole: this is the only possible configuration for two separable objects, apart from the well-known extreme case (mi = ei). In the present paper, after a brief summary of this solution, we study in some detail the coordinate systems used and the main features of the gravitational and electric fields. In particular, we graph the plots of the electric force lines in three qualitatively different situations: equal-sign charges, opposite charges and the case of a naked singularity near a neutral black hole.

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