ISSN:
1572-946X
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract An idea is developed that the vacuum in the gravitational field acquires properties of an elastic medium described by a definite tension τ ik . The vacuum is stated to also participate in the formation of the space-time metric, together with the usual matter. So, the matter, vacuum and metric form a complex unity determined by the solution of the field equations. The vacuum may prove to play an essential role in the extremely strong fields existing in superdense celestial bodies. The tensor τ ik is not to be identified with the pseudo-tensor of the energy-momentum of the gravitational field the idea of which is preserved. The problem of vacuum is investigated in the case of the central symmetry static field. A number of properties of the tensor τ ik is found using the symmetry of the field and comparison with the post-Newton limit. The external and internal problems, as well as the procedure of joining the solutions on the surface of a celestial body, have been formulated. The stellar surface is determined in the usual way:P(r) = 0 whereP is the matter pressure. The theory includes three dimensionless parametersa=p/ɛ,b=p ⊥/ɛ (ɛ,p, p ⊥ are the density of the vacuum energy and of its pressures in the radial and transverse directions) and ω determining the vacuum elastic properties. Generally speaking, they depend on the valueP/ρc2 in the stellar centre where ϱ is the mass density. From general physical considerations it is shown that 0 ≤ ω ≤ 1 + lim P→∞ (l/q). The field equations are solved for the simple version of the theoryb=−a. There are solutions corresponding to superdense celestial bodies with masses considerably exceeding that of the Sun.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00653990
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