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

Abstract

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.

Affine Killing vector fields on homogeneous surfaces with torsion

“…Other models with non-metricity and torsion waves have been studied in [9] and [10]. A oneloop effective action in terms of the connection has been analyzed in [11].…”

“…The propagation of quantum fields on a spacetime with torsion has been analyzed in [7], and an example of the torsion field as a propagating degree of freedom can be found in [8]. Other models with non-metricity and torsion waves have been studied in [9] and [10]. A one-loop effective action in terms of the connection has been analyzed in [11].…”

The Trautman Problem of Information Transfer, the Problem of Energy Transfer by Gravitational Waves and the Status of the Poincare Gauge Theory of Gravity

“…Ранее авторами, в связи с разрешением требований проблемы Траутмана, был проведен ряд исследований [15][16][17], в которых были доказаны следующие теоремы.…”