On the Properties of Stationary Distributions of Gravitational Vortex Fields and Continuous Media
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ON THE PROPERTIES OF STATIONARY DISTRIBUTIONS OF GRAVITATIONAL VORTEX FIELDS AND CONTINUOUS MEDIA V. G. Krechet,1 V. B. Oshurko,1,2 and A. E. Baidin1
UDC 530.12
Properties of an ideal self-gravitating fluid with a barotropic equation of state in the equilibrium configurations and its vortex physical fields have been studied within the framework of general theory of relativity. In this case, the gravitational field of the liquid always contains a vortex component. It has been shown that with a proper choice of the system parameters, the solution of the Einstein equations describes the space-time geometry with wormholes resulting from the action of the vortex field. The wormholes in this case have plane asymptotes. Keywords: gravitation, vortex physical fields, wormholes, continuous media.
In the present work, the special features of the properties of joint stationary distributions of self-gravitating vortex physical fields and continuous media are considered. As one of them, we choose an ideal liquid with the barotropic equation of state p w , w const , and w 1 . Among the vortex physical fields are, for example, azimuthal magnetic and electric fields, the Dirac spinor field with a polarized spin, the field of velocities of a rotating continuous medium, and the vortex gravitational field [1] being the vortex component of the total gravitational field. The properties of the vortex gravitational field and its role in astrophysics and cosmology have already been studied in [1, 2]. In our opinion, a remarkable feature of the vortex gravitational field is that it can lead to the formation of wormholes – remarkable astrophysical objects theoretically predicted within the framework of the GTR without consideration of matter with very exotic properties, for example, a negative kinetic term of the energy-momentum tensor or a violation of the weak energy condition ( p 0 ). It is very difficult or may be even impossible at al to find or to produce the matter with such properties. The vortex fields can be easily found or produced. For example, it is well known that a direct straight electric current is a source of an azimuthal stationary magnetic field. A source of a vortex gravitational field, as shown in [2], can be a quickly rotating continuous medium, for example, an ideal liquid, as well as the Dirac spinor field with a polarized spin. The vortex gravitational field with a wormhole obtained theoretically as a solution of the stationary vacuum Einstein equations ( Rik 0 ) in space-time of a certain type, can a priori exist [3]. In order that the wormholes could be formed by the vortex fields, it is required that they were sufficiently intensive so that their energy-momentum tensor could produce a significant impact on the properties of space-time. The wormholes represent original tunnels in space-time linking remote regions of our Universe or even parallel Universes, which make possible future remote spaceflights for rather short times. They also can be used to create a time machine. In certain cases, the
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