Russian Physics Journal, Vol. 61, No. 2, June, 2018 (Russian Original No. 2, February, 2018)
NEW EFFECTS OF THE INTERACTION OF ELECTRIC AND
V. G. Krechet, V. B. Oshurko, and S. D. Ivanova UDC 530.12:530.145
The properties of stationary distributions of self-gravitating electric fields are considered within the framework
of GRT with the presence of a vortex component in the gravitational field taken into account. It is shown that
under the indicated conditions, cylindrically symmetric configurations of the gravitational field and electric
fields can lead to the formation of “wormholes” and other remarkable effects.
Keywords: electric fields, gravitation, Einstein equations, phantom fields, wormholes.
In this paper we extend our study of the existence of such astrophysical objects as wormholes, and the
conditions leading to their formation, and also the physical effects accompanying them. Such a study is motivated by
the fact that at the present time the problem of the existence, physical properties, and conditions leading to the
formation of wormholes – tunnels in spacetime connecting remote regions of the Universe – remains a topic of keen
interest [1–3]. Moreover, in an investigation of the existence of stable wormholes, it is possible to discover new
interesting physical effects, such as the realization of a time machine or the shortest connection between distant regions
It is well known that for cases of spherical symmetry the geometry of a wormhole can be theoretically obtained
as the solution of Einstein’s equations in GRT if the weak energy condition
in the energy-momentum tensor
is violated . Here p is the pressure and ε is the energy density. However, for the case of cylindrically symmetric
wormholes the corresponding geometry can be obtained if the condition
in the energy-momentum tensor is
satisfied . What is more, cylindrically symmetric wormholes can be obtained with the help of physical vortex fields,
such as spinor fields, magnetic fields, and also with the help of a vortex gravitational field , this latter being the
vortex component of the total gravitational field.
Here we will consider possible effects of the combined action of a vortex gravitational field and other physical
fields. The effects of the combined action of a vortex gravitational field and a scalar field with potentials of different
kinds were considered in [5, 6]. Below, we consider the effects of the combined action of a vortex gravitational field
and electric fields for the case of stationary configurations of these fields.
In general, a vortex gravitational field is described by the 4-dimensional rotor of the tetrad
; the angular
velocity of rotation of the tetrad is a kinematic characteristic of the field :
ka m n
Moscow State Technological University “Stankin,” Moscow, Russia, e-mail: firstname.lastname@example.org;
email@example.com; firstname.lastname@example.org. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2,
pp. 128–135, January, 2018. Original article submitted October 16, 2017.
1064-8887/18/6102-0347 2018 Springer Science+Business Media, LLC