Conformally flat null electromagnetic field

1983 ◽  
Vol 22 (3) ◽  
pp. 237-241
Author(s):  
M. M. Som ◽  
M. P. Martins ◽  
A. Banerjee
Keyword(s):  
Electromagnetic Field ◽  
Conformally Flat ◽  
Null Electromagnetic Field

scholarly journals Geodesies of an affine connection and electromagnetism with radiation reaction

1971 ◽  
Vol 4 (2) ◽  
pp. 225-240 ◽  
Author(s):  
R.R. Burman
Keyword(s):  
Electromagnetic Field ◽  
Affine Connection ◽  
Radiation Reaction ◽  
External Electromagnetic Field ◽  
Geodesic Equation ◽  
Conformally Flat ◽  
Metric Tensor ◽  
Special Cases ◽  
Test Charge ◽  
Point Test

This paper deals with the motion of a point test charge in an external electromagnetic field with the effect of electromagnetic radiation reaction included. The equation of motion applicable in a general Riemannian space-time is written as the geodesic equation of an affine connection. The connection is the sum of the Christoffel connection and a tensor which depends on, among other things, the external electromagnetic field, the charge and mass of the particle and the Ricci tensor. The affinity is not unique; a choice is made so that the covariant derivative of the metric tensor with respect to the connection vanishes. The special cases of conformally flat spaces and the space of general relativity are discussed.

Energy Tensor of the Null Electromagnetic Field

1967 ◽  
Vol 8 (4) ◽  
pp. 667-674 ◽  
Author(s):  
P. C. Bartrum
Keyword(s):  
Electromagnetic Field ◽  
Energy Tensor ◽  
Null Electromagnetic Field

Effects of charge on anisotropic conformally flat polytropes

2015 ◽  
Vol 93 (11) ◽  
pp. 1420-1426 ◽  
Author(s):  
M. Sharif ◽  
Sobia Sadiq
Keyword(s):  
Electromagnetic Field ◽  
Equations Of State ◽  
Compact Object ◽  
Spherically Symmetric ◽  
Conformally Flat ◽  
Matter Distribution ◽  
Anisotropic Matter ◽  
Flat Condition

In this paper, we study the effects of electromagnetic field on conformally flat spherically symmetric anisotropic matter distribution satisfying two polytropic equations of state. We consider conformally flat condition and evaluate corresponding anisotropy, which is used to study polytropes for the charged compact object. Finally, we study stability of the resulting models using the Tolman mass. It is concluded that only one of the resulting models is physically viable.

Ricci and Maxwell collineations in a null electromagnetic field

1975 ◽  
Vol 8 (12) ◽  
pp. 1875-1881 ◽  
Author(s):  
K P Singh ◽  
D N Sharma
Keyword(s):  
Electromagnetic Field ◽  
Null Electromagnetic Field

Hopf-Ranãda linked and knotted light beam solution viewed as a null electromagnetic field

2009 ◽  
Vol 34 (24) ◽  
pp. 3887 ◽  
Author(s):  
Ioannis M. Besieris ◽  
Amr M. Shaarawi
Keyword(s):  
Electromagnetic Field ◽  
Light Beam ◽  
Null Electromagnetic Field

scholarly journals The spacetime geometry of a null electromagnetic field

2014 ◽  
Vol 31 (4) ◽  
pp. 045022 ◽  
Author(s):  
C G Torre
Keyword(s):  
Electromagnetic Field ◽  
Spacetime Geometry ◽  
Null Electromagnetic Field

Conformally Ricci flat Einstein-Maxwell solutions with a null electromagnetic field

1986 ◽  
Vol 18 (11) ◽  
pp. 1105-1110 ◽  
Author(s):  
N. Van den Bergh
Keyword(s):  
Electromagnetic Field ◽  
Ricci Flat ◽  
Null Electromagnetic Field

scholarly journals On the force caused by a null Einstein-Maxwell field with the plane symmetry

2021 ◽  
Vol 2081 (1) ◽  
pp. 012033
Author(s):  
V N Timofeev
Keyword(s):  
Electromagnetic Field ◽  
Test Particle ◽  
Alternating Current ◽  
Space Time ◽  
Maxwell Field ◽  
Constant Current ◽  
Plane Symmetry ◽  
Null Electromagnetic Field ◽  
Current Flows

Abstract The article shows that a large flat platform with a constant current, which flows over its surface, accelerates time. It is also shown that if an alternating current flows along the surface of a flat platform while creating a null electromagnetic field then a force repelling from the platform acts on the test particle located near it. This force has no gravitational nature and arises as a result of the curvature of space-time by the electromagnetic field of a flat platform with an alternating current.

Self-conjugate gravitational fields. I

1963 ◽  
Vol 275 (1361) ◽  
pp. 245-256 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Gravitational Field ◽  
Flat Space ◽  
Space Time ◽  
Second Order ◽  
Necessary Condition ◽  
Tensor Form ◽  
Gravitational Fields ◽  
Null Electromagnetic Field ◽  
Scalar Invariants

By splitting the curvature tensor R hijk into three 3-tensors of the second rank in a normal co-ordinate system, self-conjugate empty gravitational fields are defined in a manner analogous to that of the electromagnetic field. This formalism leads to three different types of self-conjugate gravitational fields, herein termed as types A, B and C . The condition that the gravitational field be self-conjugate of type A is expressed in a tensor form. It is shown that in such a field R hijk is propagated with the fundamental velocity and all the fourteen scalar invariants of the second order vanish. The structure of R hijk defines a null vector which can be identified as the vector defining the propagation of gravitational waves. It is found that a necessary condition for an empty gravitational field to be continued with a flat space-time across a null 3-space is that the field be self-conjugate of type A. The concept of the self-conjugate gravitational field is extended to the case when R ij # 0 but the scalar curvature R is zero. The condition in this case is also expressed in a tensor form. The necessary conditions that the space-time of an electromagnetic field be continued with an empty gravitational field or a flat space-time across a 3-space have been obtained. It is shown that for a null electromagnetic field whose gravitational field is self-conjugate of type A , all the fourteen scalar invariants of the second order vanish.

Null Electromagnetic Field in the Form of Spherical Radiation

1967 ◽  
Vol 8 (7) ◽  
pp. 1464-1467 ◽  
Author(s):  
Peter C. Bartrum
Keyword(s):  
Electromagnetic Field ◽  
Null Electromagnetic Field
Sign in / Sign up

Export Citation Format

Share Document