New type of vacuum solutions of nonlinear conformally covariant coupled field equations

1981 ◽  
Vol 23 (12) ◽  
pp. 3076-3077 ◽  
Author(s):  
A. O. Barut ◽  
Bo-Wei Xu
Keyword(s):  
Field Equations ◽  
Coupled Field ◽  
New Type ◽  
Coupled Field Equations ◽  
Vacuum Solutions

Bleustein-Gulyaev Waves in an Inhomogeneous Layered Piezoelectric Half-Space

2006 ◽  
Vol 306-308 ◽  
pp. 1223-1228
Author(s):  
Fei Peng ◽  
Hua Rui Liu
Keyword(s):  
Fourier Transform ◽  
Phase Velocity ◽  
Half Space ◽  
Electric Potential ◽  
Piezoelectric Layer ◽  
Field Equations ◽  
Transform Method ◽  
Coupled Field ◽  
Coupled Field Equations ◽  
The Fourier Transform

The propagation of Bleustein-Gulyaev (BG) waves in an inhomogeneous layered piezoelectric half-space is investigated in this paper. Application of the Fourier transform method and by solving the electromechanically coupled field equations, solutions to the mechanical displacement and electric potential are obtained for the piezoelectric layer and substrate, respectively. The phase velocity equations for BG waves are obtained for the surface electrically shorted case. When the layer and the substrate are homogenous, the dispersion equations are in agreement with the corresponding results. Numerical calculations are performed for the case that the layer and the substrate are identical LiNbO3 except that they are polarized in opposite directions. Effects of the inhomogeneities induced by either the layer or substrate are discussed in detail.

Exact soliton solutions for a class of coupled field equations

1993 ◽  
Vol 173 (1) ◽  
pp. 30-32 ◽  
Author(s):  
Xin-Yi Wang ◽  
Bing-Chang Xu ◽  
Philip L. Taylor
Keyword(s):  
Soliton Solutions ◽  
Field Equations ◽  
Coupled Field ◽  
Coupled Field Equations ◽  
Exact Soliton Solutions

On the exact soliton solutions for a class of coupled field equations

1993 ◽  
Vol 182 (2-3) ◽  
pp. 300-301 ◽  
Author(s):  
Xiaowu Huang ◽  
Jiahua Han ◽  
Kaiyi Qian ◽  
Wei Qian
Keyword(s):  
Soliton Solutions ◽  
Field Equations ◽  
Coupled Field ◽  
Coupled Field Equations ◽  
Exact Soliton Solutions

GENERALIZED SCALAR TENSOR THEORY IN FOUR AND HIGHER DIMENSION

2000 ◽  
Vol 09 (05) ◽  
pp. 543-549 ◽  
Author(s):  
SUBENOY CHAKRABORTY ◽  
ARABINDA GHOSH
Keyword(s):  
Physical Parameters ◽  
Scalar Tensor Theory ◽  
Higher Dimension ◽  
Field Equations ◽  
Bianchi I ◽  
Bulk Viscous Fluid ◽  
Tensor Theory ◽  
Bulk Viscous ◽  
Coupled Field ◽  
Coupled Field Equations

In this paper, we have considered generalized scalar–tensor theory for four-dimensional Bianchi-I model and also for a five-dimensional cosmological model. We have studied both exponential and power law solutions, considering a bulk viscous fluid. To solve the complicated coupled field equations, we have made assumptions among the physical parameters and solutions have been discussed.

scholarly journals Charged slowly rotating toroidal black holes in the (1 + 3)-dimensional Einstein-power-Maxwell theory

2019 ◽  
Vol 28 (01) ◽  
pp. 1950016 ◽  
Author(s):  
Grigoris Panotopoulos ◽  
Ángel Rincón
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Approximate Analytical Solution ◽  
Nonlinear Electrodynamics ◽  
Field Equations ◽  
Maxwell Theory ◽  
3 Dimensional ◽  
Coupled Field ◽  
Coupled Field Equations ◽  
Small Rotation

In this work, we find charged slowly rotating solutions in the four-dimensional Einstein-power-Maxwell nonlinear electrodynamics assuming a negative cosmological constant. By solving the system of coupled field equations explicitly, we obtain an approximate analytical solution in the small rotation limit. The solution obtained is characterized by a flat horizon structure, and it corresponds to a toroidal black hole. The Smarr’s formula, the thermodynamics and the invariants Ricci scalar and Kretschmann scalar are briefly discussed.

scholarly journals MGD Dirac Stars

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 508 ◽  
Author(s):  
Roldão da Rocha
Keyword(s):  
Realistic Model ◽  
Brane Tension ◽  
Specific Function ◽  
Coupling Constant ◽  
Field Equations ◽  
Coupled Field ◽  
Geometric Deformation ◽  
Maximal Mass ◽  
Fermionic Fields ◽  
Coupled Field Equations

The method of geometric deformation (MGD) is here employed to study compact stellar configurations, which are solutions of the effective Einstein–Dirac coupled field equations on fluid branes. Non-linear, self-interacting, fermionic fields are then employed to derive MGD Dirac stars, whose properties are analyzed and discussed. The MGD Dirac star maximal mass is shown to increase as a specific function of the spinor self-interaction coupling constant, in a realistic model involving the most strict phenomenological current bounds for the brane tension.

Investigation of Shear Horizontal Acoustic Waves in an Inhomogeneous Magnetoelectroelastic Plate

2006 ◽  
Vol 306-308 ◽  
pp. 1217-1222 ◽  
Author(s):  
Fei Peng ◽  
S.Y. Hu
Keyword(s):  
Phase Velocity ◽  
Acoustic Waves ◽  
Hexagonal Symmetry ◽  
Field Equations ◽  
Magnetoelectric Effects ◽  
Material Constants ◽  
Coupled Field ◽  
Magnetoelectroelastic Material ◽  
Coupled Field Equations ◽  
Shear Horizontal

This paper presents some useful discussions on the shear horizontal acoustic waves in an inhomogeneous plate that possess coupled piezoelectric, piezomagnetic, and magnetoelectric effects. The magnetoelectroelastic material is of hexagonal symmetry (6mm crystal) and polarized in the shear horizontal direction. It is assumed that the material constants of the magnetoelectric plate vary continuously along the thickness direction. Solutions of the mechanical displacement, electric potential, and magnetic potential are obtained by solving the coupled field equations. The phase velocity equations are obtained and the influence of the inhomogeneity of the material constants on the phase velocity is considered. These findings are significant in the applications of wave propagation in the coupled piezoelectric, piezomagnetic, and magnetoelectric structures.

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