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Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow

  • Alexander Silbergleit
  • Arthur Chernin
Book

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Alexander Silbergleit, Arthur Chernin
    Pages 1-2
  3. Alexander Silbergleit, Arthur Chernin
    Pages 3-6
  4. Alexander Silbergleit, Arthur Chernin
    Pages 7-18
  5. Alexander Silbergleit, Arthur Chernin
    Pages 19-43
  6. Alexander Silbergleit, Arthur Chernin
    Pages 45-48
  7. Alexander Silbergleit, Arthur Chernin
    Pages 49-56
  8. Alexander Silbergleit, Arthur Chernin
    Pages 57-58
  9. Back Matter
    Pages 59-68

About this book

Introduction

This book derives and analyzes all solutions to the Kepler problem with dark energy (DE), presenting significant results such as: (a) all radial infinite motions obey Hubble’s law at large times; (b) all orbital infinite motions are asymptotically radial and obey Hubble’s law; (c) infinite orbital motions strongly dominate the finite ones. This clearly shows the effect of repulsive DE: In the classical Kepler problem, all orbital motions are finite for negative energies and infinite in the opposite case. Another DE effect is spatial localization of bounded orbits: mostly, they are within the equilibrium sphere, where the attractive Newtonian force outbalances the repulsive force of DE.This problem is of particular current interest due to recent studies of the local flows of galaxies showing domination of DE in their dynamics; the book discusses this observation in detail.

Keywords

Kepler's problem Effects of Dark Energy Dark Energy and Hubble Law Repulsive Dark Energy Local flow of galaxies Galaxy flow and dark energy

Authors and affiliations

  • Alexander Silbergleit
    • 1
  • Arthur Chernin
    • 2
  1. 1.W.W. Hansen Experimental Physics LaboratoryStanford UniversityStanfordUSA
  2. 2.Sternberg Astronomical InstituteMoscow UniversityMoscowRussia

Bibliographic information