Abstract

Based on well known photometric rules for the number of galaxies as function of the distance in Mpc we model the so called "Great Wall" which is visible on the Cosmicflows-2 catalog. The gravitational field is evaluated at the light of the shell theorem and a finite value for the gravitational field is numerically derived.

Highlights

  • Thomas precession, named after Llewellyn Thomas, is a relativistic motion of a particle following a curvilinear orbit

  • The maximal acceleration limit follows from the kinematical origin and it is an analogue of the maximal velocity in special relativity

  • If a sequence of non-collinear boosts returns an object to its initial velocity, the sequence of Wigner rotations can combine to produce a net rotation called the Thomas precession as it was shown by Rhodes [3]

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Summary

Introduction

Thomas precession, named after Llewellyn Thomas, is a relativistic motion of a particle following a curvilinear orbit. It is a result of the non-commutativity of Lorenz transformations. Thomas precession is a kinematic effect in the flat spacetime of speciál relativity. Particles can be accelerated by different ways, usually by the classical electromagnetic fields, or, by light pressure of the laser fields [5] [6] [7] [8] The latter method is the permanent problem of the laser physics for many years. If we put dt = 0 in the first equation of system (3), the Lorentz length contraction follows in the infinitesimal form dx′ = γ (v) dx. Historical view on this effect is in the Selleri article [9]

Uniformly Accelerated Frames with Space-Time Symmetry
Thomas Precession in Uniformly Accelerated Systém
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