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

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 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.

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