Axially Symmetric Solution of the Weyl–Dirac Theory of Gravitation and the Problem of Rotation Curves of Galaxies

2020

Universe

The stage of a super-early (primordial) scale-invariant Universe is considered on the basis of the Poincaré–Weyl gauge theory of gravity in a Cartan–Weyl space-time. An approximate solution has been found that demonstrates an inflationary behavior of the scale factor and, at the same time, a sharp exponential decrease in the effective cosmological constant from a huge value at the beginning of the Big Bang to an extremely small (but not zero) value in the modern era, which solves the well-known “cosmological constant problem.”

Section: Cosmological Solution For the Primordial Universementioning

confidence: 99%

“…which has been also accepted when finding spherically and axially symmetric solutions of the Poincaré-Weyl theory of gravity [29][30][31].…”

Section: Cosmological Solution For the Primordial Universementioning

confidence: 99%

The Solution of the Cosmological Constant Problem: The Cosmological Constant Exponential Decrease in the Super-Early Universe

2020

Universe

“…We estimate the value of . Based on the calculation of the flyby anomaly (upon receipt of the spherically symmetric solution [11,12]), the following estimate was obtained, (12) Therefore, in equations ( 7) and (10), we may neglect the terms with the coefficient Then equation ( 7) will be reduced to the equation (13) Here from the two possible signs, we take the "+" sign.…”

Section: Cosmological Modelmentioning

confidence: 99%

On the exponential decrease of the “cosmological constant” in the super-early Universe

2020

J. Phys.: Conf. Ser.

Cosmological consequences of the Poincare-Weyl gauge theory of gravity are considered. A generalized cosmological constant depending from the Dirac scalar field is introduced. The stage of a super-early scale invariant universe is considered. It is shown that while the scale factor sharply increases and demonstrates inflationary behavior, the generalized cosmological constant decreases sharply from a huge value at the beginning of the Big Bang to an extremely small value in the modern era, which solves the well-known “cosmological constant problem”.

“…A special case of a general affine-metric space is a Cartan-Weyl space in which the nonmetricity is bounded by the Weyl condition. The Cartan-Weyl space is used, for example, in the theory of Weyl-Dirac gravity [3,4].…”

Section: Introductionmentioning

confidence: 99%

Structure of plane gravitational waves of nonmetricity in affine-metric space

Khetseva

et al. 2018

Class. Quantum Grav.

A definition of an affine-metric space of the plane wave type is given using the analogy with the properties of plane electromagnetic waves in Minkowski space. The action of the Lie derivative on the 40 components of the nonmetricity 1-form in the 4-dimensional affine-metric space leads to the conclusion that the nonmetricity of a plane wave type is determined by five arbitrary functions of delayed time. A theorem is proved that parts of the nonmetricity 1-form irreducible with respect to the Lorentz transformations of the tangent space, such as the Weyl 1-form, the trace 1-form, and the spin 3 1-form, are defined by one arbitrary function each, and the spin 2 1-form is defined by two arbitrary functions. This proves the possibility of transmitting information with the help of nonmetricity waves.