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

  • Book
  • © 2019

Overview

  • Presents a comprehensive analysis of all Kepler motions in the presence of dark energy
  • Discusses in detail recent research on the role of dark energy in the local galactic flow dynamics
  • Provides a detailed, clear, and consistent exposition of the topic

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

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Table of contents (7 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • W.W. Hansen Experimental Physics Laboratory, Stanford University, Stanford, USA

    Alexander Silbergleit

  • Sternberg Astronomical Institute, Moscow University, Moscow, Russia

    Arthur Chernin

About the authors

A.S. Silbergleit is an expert in mathematical and theoretical physics and author of over 160 papers and three books. His official biography can be found in “Who’s Who In America”.

A.D. Chernin's work focuses on theoretical physics and cosmology. He is a professor at Moscow State University's Sternberg Astronomical Institute and has authored over 275 papers and about a dozen books.

Bibliographic Information

  • Book Title: Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow

  • Authors: Alexander Silbergleit, Arthur Chernin

  • Series Title: SpringerBriefs in Physics

  • DOI: https://doi.org/10.1007/978-3-030-36752-7

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

  • Softcover ISBN: 978-3-030-36751-0Published: 12 December 2019

  • eBook ISBN: 978-3-030-36752-7Published: 29 November 2019

  • Series ISSN: 2191-5423

  • Series E-ISSN: 2191-5431

  • Edition Number: 1

  • Number of Pages: VIII, 68

  • Number of Illustrations: 17 b/w illustrations

  • Topics: Cosmology, Classical and Quantum Gravitation, Relativity Theory

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