scholarly journals Magnetized Kerr–Newman–Taub-NUT spacetimes

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Masoud Ghezelbash ◽  
Haryanto M. Siahaan
Keyword(s):  
Exact Solutions ◽  
Conserved Quantities ◽  
Magnetization Process ◽  
Maxwell Theory ◽  
First Law Of Thermodynamics ◽  
New Class

AbstractWe find a new class of exact solutions in the Einstein–Maxwell theory by employing the Ernst magnetization process to the Kerr–Newman–Taub-NUT spacetimes. We study the solutions and find that they are regular everywhere. We also find the quasilocal conserved quantities for the spacetimes, the corresponding Smarr formula and the first law of thermodynamics.

Conserved Quantities for the General Linear Heat Equation

2016 ◽  
pp. 4437-4439
Author(s):  
Adil Jhangeer ◽  
Fahad Al-Mufadi
Keyword(s):  
Evolution Equation ◽  
Heat Equation ◽  
Conservation Laws ◽  
Exact Solutions ◽  
Lagrangian Approach ◽  
General Linear ◽  
Conserved Quantities ◽  
Linear Heat ◽  
The Family ◽  
Partial Lagrangian

In this paper, conserved quantities are computed for a class of evolution equation by using the partial Noether approach [2]. The partial Lagrangian approach is applied to the considered equation, infinite many conservation laws are obtained depending on the coefficients of equation for each n. These results give potential systems for the family of considered equation, which are further helpful to compute the exact solutions.

GEOMETRIC INTEGRATION BY SOLUTION INTERPOLATION

2009 ◽  
Vol 20 (02) ◽  
pp. 313-322
Author(s):  
PILWON KIM
Keyword(s):  
Differential Equation ◽  
Heat Equation ◽  
Exact Solutions ◽  
Standard Method ◽  
Interpolation Method ◽  
Nonlinear Heat Equation ◽  
Geometric Integration ◽  
Numerical Schemes ◽  
New Class ◽  
Geometric Integrators

Numerical schemes that are implemented by interpolation of exact solutions to a differential equation naturally preserve geometric properties of the differential equation. The solution interpolation method can be used for development of a new class of geometric integrators, which generally show better performances than standard method both quantitatively and qualitatively. Several examples including a linear convection equation and a nonlinear heat equation are included.

New class of exact solutions of the Dirac equation

1975 ◽  
Vol 16 (10) ◽  
pp. 2089-2092 ◽  
Author(s):  
Franklin S. Felber ◽  
John H. Marburger
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
New Class

A new class of exact solutions of the Vlasov equation

2001 ◽  
Vol 8 (12) ◽  
pp. 5081-5085 ◽  
Author(s):  
M. Y. Yu ◽  
Zhaoyang Chen ◽  
L. Stenflo
Keyword(s):  
Exact Solutions ◽  
Vlasov Equation ◽  
New Class

scholarly journals Some exact solutions in f(𝒢,T) gravity via Noether symmetries

2017 ◽  
Vol 32 (16) ◽  
pp. 1750086 ◽  
Author(s):  
M. Farasat Shamir ◽  
Mushtaq Ahmad
Keyword(s):  
Exact Solutions ◽  
Momentum Tensor ◽  
Gravity Models ◽  
Noether Symmetry ◽  
Type I ◽  
Conserved Quantities ◽  
Rotationally Symmetric ◽  
Bianchi Type I Universe ◽  
Modified Formula ◽  
Bonnet Term

This paper is devoted to investigate the recently proposed modified Gauss–Bonnet [Formula: see text] gravity, with [Formula: see text], the Gauss–Bonnet term, coupled with [Formula: see text], the trace of energy–momentum tensor. We have used the Noether symmetry methodology to discuss some cosmologically important [Formula: see text] gravity models with anisotropic background. In particular, the Noether symmetry equations for modified [Formula: see text] gravity are reported for locally rotationally symmetric Bianchi type I universe. Explicitly, two models have been proposed to explore the exact solutions and the conserved quantities. It is concluded that the specific models of modified Gauss–Bonnet gravity may be used to reconstruct [Formula: see text]CDM cosmology without involving any cosmological constant.

Conserved Quantities in the Einstein‐Maxwell Theory

1969 ◽  
Vol 10 (9) ◽  
pp. 1566-1570 ◽  
Author(s):  
Albert R. Exton ◽  
Ezra T. Newman ◽  
Roger Penrose
Keyword(s):  
Conserved Quantities ◽  
Maxwell Theory

Complete model of a self-gravitating cosmic string: A new class of exact solutions

1995 ◽  
Vol 52 (10) ◽  
pp. 5588-5597 ◽  
Author(s):  
Charles C. Dyer ◽  
Francine R. Marleau
Keyword(s):  
Exact Solutions ◽  
Cosmic String ◽  
Complete Model ◽  
New Class

scholarly journals EFFECTS OF CHERN–SIMONS CORRECTIONS ON CONSERVED QUANTITIES OF RELATIVISTIC FLUID

2010 ◽  
Vol 25 (31) ◽  
pp. 2655-2666
Author(s):  
KOHKICHI KONNO ◽  
TOYOKI MATSUYAMA ◽  
SATOSHI TANDA
Keyword(s):  
Fluid Flow ◽  
Modified Gravity ◽  
Gravity Theory ◽  
Conserved Quantities ◽  
Maxwell Theory ◽  
Relativistic Fluid ◽  
Modified Gravity Theory ◽  
Chern Simons

We consider relativistic fluid flow under Chern–Simons modified Maxwell theory and under Chern–Simons modified gravity theory. We take account of the effects of Chern–Simons corrections on the quantities of fluid flow that is conserved without the Chern–Simons corrections. We find that the conservations of several quantities are generally broken by the Chern–Simons corrections.

Sign in / Sign up

Export Citation Format

Share Document