Leonid Verozub - Academia.edu (original) (raw)

Papers by Leonid Verozub

The paper considers the physical consequences of bimetric geodesically (pro jectively) invariant ... more The paper considers the physical consequences of bimetric geodesically (pro jectively) invariant equations of gravitation. The correct expression for the energy- impulse tensor of the gravitational field is obtained and with its help the key role of the gravitational defect of mass-energy for the energy of the newborn universe is shown..

AIP Conference Proceedings

Eprint Arxiv 0805 2688, May 1, 2008

In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect t... more In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It seems obvious enough that just these mappings should play a role of gauge transformations of the variables in differential equations of gravitational field. We consider here in short a gauge-invariant bimetric generalisation of the Einstein equations which does not contradict availabel observation data. Physical interpretation of the bimetricity based on relativity of space-time with respect to used reference frame, following conceptually from old Poincaré fundamental ideas, is proposed..

New Trends in Theoretical and Observational Cosmology, 2002

Eprint Arxiv Gr Qc 0209081, Sep 23, 2002

We argue that space-time properties are not absolute with respect to the used frame of reference ... more We argue that space-time properties are not absolute with respect to the used frame of reference as is to be expected according to ideas of relativity of space and time properties by Berkley-Leibnitz-Mach-Poincaré. From this point of view gravitation may manifests itself both as a field in Minkowski space-time and as space-time curvature. If the motion of test particles is described by the Thirring Lagrangian, then in the inertial frames of reference, where space-time is pseudo-Euclidean, gravitation manifests itself as a field. In reference frames, whose reference body is formed by point masses moving under the effect of the field, it appears as Riemannian curvature which in these frames is other than zero. For realization of the idea the author bimetric gravitation equations are considered. The spherically-symmetric solution of the equations in Minkowski space-time does not lead to the physical singularity in the center. The energy of the gravitational field of a point mass is finite. It follows from the properties of the gravitational force that there can exist stable compact supermassive configurations of Fermi-gas without an events horizon.

Eprint Arxiv Astro Ph 9903468, Mar 1, 1999

Eprint Arxiv Gr Qc 9606019, Jun 1, 1996

We argue that our gravitation equations [1] in the flat space-time lead to the finite proper grav... more We argue that our gravitation equations [1] in the flat space-time lead to the finite proper gravitational energy of a point mass. 1 The Gravitation Equations Perhaps [2] , gravitation can be described by a tensor field ψ µν in flat space-time and the Lagrangian action for the test point masses m in this field is of the form L = −mc[g αβ (ψ)ẋ αẋβ ] 1/2 , (1)

It is shown that gravitational theory allows stable equilibrium configurations of the degenerated... more It is shown that gravitational theory allows stable equilibrium configurations of the degenerated Fermi-gas, whose masses M ≫ M ⊙ and sizes are less than α = 2GM/c (G is the gravitational constant and c is the speed of light). They have no events horizon at the distance r = α from the center. This are objects with low luminosity and are a new candidate in Dark Matter im the Universe. Orbits of test particles near the above objects are considered.

This paper aims to show the possibility of the existence of super-massive compact objects with ra... more This paper aims to show the possibility of the existence of super-massive compact objects with radii less than the Schwarzschild one, which is one of the principal consequences of the author's geodesic-invariant gravitation equations (Ann. Phys. (Berlin), 17 (2008) 28). The physical interpretation of the solutions of the equations is based on the conclusion that only an aggregate "space-time geometry + used reference frame" has a physical sense.

Ukrainskii Fizicheskii Zhurnal, 1981

Informational Bulletin of the Ukrainian Astronomical Association, 1998

Current Topics in Mathematical Cosmology, 1998

We propose a new method of gravitational waves detection in the 10 −1 ÷ 10 −2-Hz band for a space... more We propose a new method of gravitational waves detection in the 10 −1 ÷ 10 −2-Hz band for a space laboratory based on the use of the Kozorez effect in the magnetic interaction of superconducting solenoids.

Informational Bulletin of the Ukrainian Astronomical Association, 1998

The radius of the observable region of the Universe is of the order of its Schwarzschild radius. ... more The radius of the observable region of the Universe is of the order of its Schwarzschild radius. Due to the spherical symmetry, this allows to check the properties of the gravitational force in the vicinity of the Schwarzschild radius by comparing the theoretical and observed Hubble diagram at high redshifts. This can be done in a simple model that fellows from projective-invariant equations of gravitation.This paper shows that the Hubble diagram up to z=8z=8z=8 testifies in favor of the specific properties of gravity near and inside of the Schwarzschild radius.

Eprint Arxiv Astro Ph 0402106, Feb 4, 2004

In the present paper some consequences of the assumption that in the center of the Galaxy there i... more In the present paper some consequences of the assumption that in the center of the Galaxy there is a supermassive compact object without the events horizon are considered. The possibility of existence of such object has been argued earlier. It is shown, that accretion of a surrounding gas onto the object can cause nuclear burning in a superficial layer which owing to comptonization in a hotter layer, laying above, can manifest itself in observable IR and X spectra. The contribution of an intrinsic magnetic moment of the object in the observable synchrotron radiation is considered, using transfer equations, taking into account influence of gravitation on the energy and movement of photons.

Eprint Arxiv Gr Qc 9606035, Jun 14, 1996

It is shown that any theory of gravitation, based on the hypothesis of the geodesic motion of tes... more It is shown that any theory of gravitation, based on the hypothesis of the geodesic motion of test particles must be invariant under geodesic (projecive) mappings of the used space-time. The reason is that due to invariance of the equations of geodesic lines under a continuous group of transformations of the coefficients of affine connection, there is a wide class of transformations of the geometrical objects of Riemannian space-time which leaves invariant the equations of motion of test particles. The FRW metric in cosmology and the Schwarzschild metric are a good example to make sure that the standard space-time metrics does not determine the gravitational field unequivocally.

The paper considers the physical consequences of bimetric geodesically (pro jectively) invariant ... more The paper considers the physical consequences of bimetric geodesically (pro jectively) invariant equations of gravitation. The correct expression for the energy- impulse tensor of the gravitational field is obtained and with its help the key role of the gravitational defect of mass-energy for the energy of the newborn universe is shown..

AIP Conference Proceedings

Eprint Arxiv 0805 2688, May 1, 2008

In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect t... more In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It seems obvious enough that just these mappings should play a role of gauge transformations of the variables in differential equations of gravitational field. We consider here in short a gauge-invariant bimetric generalisation of the Einstein equations which does not contradict availabel observation data. Physical interpretation of the bimetricity based on relativity of space-time with respect to used reference frame, following conceptually from old Poincaré fundamental ideas, is proposed..

New Trends in Theoretical and Observational Cosmology, 2002

Eprint Arxiv Gr Qc 0209081, Sep 23, 2002

We argue that space-time properties are not absolute with respect to the used frame of reference ... more We argue that space-time properties are not absolute with respect to the used frame of reference as is to be expected according to ideas of relativity of space and time properties by Berkley-Leibnitz-Mach-Poincaré. From this point of view gravitation may manifests itself both as a field in Minkowski space-time and as space-time curvature. If the motion of test particles is described by the Thirring Lagrangian, then in the inertial frames of reference, where space-time is pseudo-Euclidean, gravitation manifests itself as a field. In reference frames, whose reference body is formed by point masses moving under the effect of the field, it appears as Riemannian curvature which in these frames is other than zero. For realization of the idea the author bimetric gravitation equations are considered. The spherically-symmetric solution of the equations in Minkowski space-time does not lead to the physical singularity in the center. The energy of the gravitational field of a point mass is finite. It follows from the properties of the gravitational force that there can exist stable compact supermassive configurations of Fermi-gas without an events horizon.

Eprint Arxiv Astro Ph 9903468, Mar 1, 1999

Eprint Arxiv Gr Qc 9606019, Jun 1, 1996

We argue that our gravitation equations [1] in the flat space-time lead to the finite proper grav... more We argue that our gravitation equations [1] in the flat space-time lead to the finite proper gravitational energy of a point mass. 1 The Gravitation Equations Perhaps [2] , gravitation can be described by a tensor field ψ µν in flat space-time and the Lagrangian action for the test point masses m in this field is of the form L = −mc[g αβ (ψ)ẋ αẋβ ] 1/2 , (1)

It is shown that gravitational theory allows stable equilibrium configurations of the degenerated... more It is shown that gravitational theory allows stable equilibrium configurations of the degenerated Fermi-gas, whose masses M ≫ M ⊙ and sizes are less than α = 2GM/c (G is the gravitational constant and c is the speed of light). They have no events horizon at the distance r = α from the center. This are objects with low luminosity and are a new candidate in Dark Matter im the Universe. Orbits of test particles near the above objects are considered.

This paper aims to show the possibility of the existence of super-massive compact objects with ra... more This paper aims to show the possibility of the existence of super-massive compact objects with radii less than the Schwarzschild one, which is one of the principal consequences of the author's geodesic-invariant gravitation equations (Ann. Phys. (Berlin), 17 (2008) 28). The physical interpretation of the solutions of the equations is based on the conclusion that only an aggregate "space-time geometry + used reference frame" has a physical sense.

Ukrainskii Fizicheskii Zhurnal, 1981

Informational Bulletin of the Ukrainian Astronomical Association, 1998

Current Topics in Mathematical Cosmology, 1998

We propose a new method of gravitational waves detection in the 10 −1 ÷ 10 −2-Hz band for a space... more We propose a new method of gravitational waves detection in the 10 −1 ÷ 10 −2-Hz band for a space laboratory based on the use of the Kozorez effect in the magnetic interaction of superconducting solenoids.

Informational Bulletin of the Ukrainian Astronomical Association, 1998

The radius of the observable region of the Universe is of the order of its Schwarzschild radius. ... more The radius of the observable region of the Universe is of the order of its Schwarzschild radius. Due to the spherical symmetry, this allows to check the properties of the gravitational force in the vicinity of the Schwarzschild radius by comparing the theoretical and observed Hubble diagram at high redshifts. This can be done in a simple model that fellows from projective-invariant equations of gravitation.This paper shows that the Hubble diagram up to z=8z=8z=8 testifies in favor of the specific properties of gravity near and inside of the Schwarzschild radius.

Eprint Arxiv Astro Ph 0402106, Feb 4, 2004

In the present paper some consequences of the assumption that in the center of the Galaxy there i... more In the present paper some consequences of the assumption that in the center of the Galaxy there is a supermassive compact object without the events horizon are considered. The possibility of existence of such object has been argued earlier. It is shown, that accretion of a surrounding gas onto the object can cause nuclear burning in a superficial layer which owing to comptonization in a hotter layer, laying above, can manifest itself in observable IR and X spectra. The contribution of an intrinsic magnetic moment of the object in the observable synchrotron radiation is considered, using transfer equations, taking into account influence of gravitation on the energy and movement of photons.

Eprint Arxiv Gr Qc 9606035, Jun 14, 1996

It is shown that any theory of gravitation, based on the hypothesis of the geodesic motion of tes... more It is shown that any theory of gravitation, based on the hypothesis of the geodesic motion of test particles must be invariant under geodesic (projecive) mappings of the used space-time. The reason is that due to invariance of the equations of geodesic lines under a continuous group of transformations of the coefficients of affine connection, there is a wide class of transformations of the geometrical objects of Riemannian space-time which leaves invariant the equations of motion of test particles. The FRW metric in cosmology and the Schwarzschild metric are a good example to make sure that the standard space-time metrics does not determine the gravitational field unequivocally.

It is shown that any theory of gravitation, based on the hypothesis of the geodesic motion of tes... more It is shown that any theory of gravitation, based on the hypothesis of the geodesic motion of test particles must be invariant under geodesic (projecive) mappings of the used space-time. The reason is that due to invariance of the equations of geodesic lines under a continuous group of transformations of the coefficients of affine connection, there is a wide class of transformations of the geometrical objects of Riemannian space-time which leaves invariant the equations of motion of test particles. The FRW metric in cosmology and the Schwarzschild metric are a good example to make sure that the standard space-time metrics does not determine the gravitational field unequivocally.