The text of the original in Russian 


The joint solution of equations of the gravitational field of GR and thermodynamics for an ideal fluid in a state of its thermal equilibrium (not a physical verification of gravitational singularities) * 

A joint solution of the equations of GR and thermodynamics for an ideal fluid, with the topology of a hollow body. We find the spatial distribution of basic thermodynamic and gravitermodinamicheskih its parameters and characteristics. Shown on the adoption of a singular surface of an unreachable values, which confirms the limitations of physical realizability of gravitational singularities. Defined value of radial coordinate for the Schwarzschild «blurred» median singular surface separating a substance into the hollow body of antimatter. 

1. INTRODUCTION 

The presence of mathematical singularities in the solutions of the gravitational field equations of general relativity theory (GRT) was considered by Einstein [1] and later the most eminent experts in the field of physics (Ivanenko [2], Møller [3, 4] Hocking [5]) as the most obvious difficulty GR. In connection with the establishment of Hawking and Penrose, a mathematical inevitability of singularities in GR [6, 7] and the possibility of conformal treatment of infinity [8, 9], as well as the principle of impossibility of empirical verification (immediate verification) of reality, as the cosmological, and gravitational singularities come to the fore the philosophical aspects of the decision problem of singularities in GR. It became obvious that the truth of the matter is possible only through the epistemological approach [10], based on the indirect verification is not a physical singularity [11, 12]. Physical not a (fictitious) mathematical singularities in the solutions of equations of the gravitational field of GR based on the principle unattainability for the thermodynamic characteristics of matter (the absolute temperature, pressure, etc.), as zero, and infinitely large. This unattainability not only from the philosophical analysis of the physical characteristics of the essence of substance, but also verified in experiments. Fictitious singularities in GR may be due to such factors: - psevdorealizuemostyu cosmological singularity only in the infinitely distant cosmological past or the future of metrically homogeneous cosmological time scale (in the cosmology used exponential scale of cosmological time, which is not strict, but practically the uniform at this stage of evolution Universe) [11,13] - localization of singularities outside the spatio-temporal domains of existence (physical implementation) solutions of the equations of GR, in connection with their match, as a rule, only the concrete and if not the primary nondegenerate phase state of matter in the universe -- match the singular solutions of the equations of GR only psevdorealizuemym degenerate states of matter - ignoring the decisions of the equations of GR evolutionary variability of the physical properties of the vacuum and matter, and including, the last continuous cooling (decrease of entropy) and, hence, neglect, and not to the rigidity of spatial reference systems coordinates and time (CO) cold material [13, 14]; - ignoring, as a non-evolutionary phase states of matter cools down, and fractality of space-time distributions (Self and variability u1088 different textures in the quasihomogeneous matter) - unaccounted blur quantum singularity effects. Unlike the problem of the cosmological singularity (Big Bang universe), easily soluble in the theory of an evolutionary expansion of the Universe charging the horizon of events (psevdogorizonta visibility [11, 13]) in the infinitely distant cosmological time [10 - 12], the problem of gravitational singularities is not so trivial solutions . In view of the gauge for the world of people [15] the evolutionary process of self-matter in the fundamental space of the physical vacuum (occurring at the level of elementary particles of matter [10 - 13]) occur in the substance of psevdogorizonty visibility and horizons are also events in the distant past infinitely distant cosmological or the future. Because of relativistic effects in the non-simultaneity of evolutionarily samoszhimayuschegosya matter raznomestnyh events that are both in the cosmological time of the fundamental physical vacuum singularity shvartsshildova internal solutions of the gravitational field equations (the so-called Schwarzschild sphere) is psevdogorizontom future [16]. Events «place» in the singular surface at any time, proper time samoszhimayuschegosya substance, in fact, may «be», only in the infinitely distant cosmological future. However, this does not completely eliminate the problem of gravitational singularities. Because gravitational singularities present in solutions of the gravitational field equations, found directly to the CO is not entrained samoszhimayuschimsya substance of the physical vacuum. In this fundamental theoretical possibility of the existence of a closed singular surface is separated from the fundamental space contained within it a part. The purpose of this work is to further philosophical reflection on the physical essence of gravitational singularities, taking place in solutions of the gravitational field equations, and the indirect verification of their physical unrealizable. 

* Report on the seminar «Problems of verification in science and social studies», Kerch, 23 October 2005 (a philosophical interpretation of the report «The joint solution of equations of the gravitational field of GR and thermodynamics for an ideal fluid in a state of thermal equilibrium it» at XII-th Russian Gravitational Conference, 20 -26 June 2005, Kazan). 

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