The validity of Huygens' principle for the conformally invariant scalar wave equation, Maxwell's equations and Weyl's neutrino equation on Petrov type D and type III space-times

1986 ◽  
Vol 118 (7) ◽  
pp. 322-324 ◽  
Author(s):  
J. Carminati ◽  
R.G. McLenaghan
Keyword(s):  
Wave Equation ◽  
Petrov Type ◽  
Scalar Wave ◽  
Scalar Wave Equation ◽  
Type Iii ◽  
Conformally Invariant ◽  
Type D ◽  
Invariant Scalar ◽  
Huygens Principle ◽  
Petrov Type D

Huygens' Principle on Petrov Type D Space-Times

1989 ◽  
Vol 501 (8) ◽  
pp. 593-597 ◽  
Author(s):  
V. Wünsch
Keyword(s):  
Petrov Type ◽  
Type D ◽  
Huygens Principle ◽  
Petrov Type D

scholarly journals Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic Time ◽  
Petrov Type ◽  
Energy Conditions ◽  
Anisotropic Fluid ◽  
Curvature Singularity ◽  
Field Equations ◽  
Asymptotically Flat ◽  
Type D ◽  
Cylindrically Symmetric ◽  
Petrov Type D

We present a cylindrically symmetric, Petrov type D, nonexpanding, shear-free, and vorticity-free solution of Einstein’s field equations. The spacetime is asymptotically flat radially and regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The energy-momentum tensor of the spacetime is that for an anisotropic fluid which satisfies the different energy conditions. This spacetime is used to generate a rotating spacetime which admits closed timelike curves and may represent a Cosmic Time Machine.

Seismic scalar wave equation with variable coefficients modeling by a new convolutional differentiator

2010 ◽  
Vol 181 (11) ◽  
pp. 1850-1858 ◽  
Author(s):  
Xiaofan Li ◽  
Tong Zhu ◽  
Meigen Zhang ◽  
Guihua Long
Keyword(s):  
Wave Equation ◽  
Variable Coefficients ◽  
Scalar Wave ◽  
Scalar Wave Equation

scholarly journals MOTION OF MASSIVE AND MASSLESS TEST PARTICLES IN DYADOSPHERE GEOMETRY

2009 ◽  
Vol 24 (16) ◽  
pp. 1277-1287 ◽  
Author(s):  
B. RAYCHAUDHURI ◽  
F. RAHAMAN ◽  
M. KALAM ◽  
A. GHOSH
Keyword(s):  
Wave Equation ◽  
Test Particle ◽  
Massless Particle ◽  
Jacobi Method ◽  
Scalar Wave ◽  
Scalar Wave Equation ◽  
Test Particles

Motion of massive and massless test particle in equilibrium and nonequilibrium case is discussed in a dyadosphere geometry through Hamilton–Jacobi method. Scalar wave equation for massless particle is analyzed to show the absence of superradiance in the case of dyadosphere geometry.

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