Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

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

Part of the SpringerBriefs in Physics Book Series

DOI: 10.1007/978-3-030-36752-7

ISBN: 978-3-030-36751-0

Publisher: Springer International Publishing - Springer Journals

Nov 30, 2019

LitStream

Chapter 1Introduction

Silbergleit, Alexander; Chernin, Arthur

Pages: 1 –2

[We give a brief history of dark energy, including recent work on its role in the dynamics of local galactic flows, as motivation for the book contents. Its structure is outlined.]
LitStream

Chapter 2Two-Body Problem with Dark Energy

Silbergleit, Alexander; Chernin, Arthur

Pages: 3 –6

[We formulate the problem of particle motion in the central field of a point mass and the uniform dark energy (DE) background. We introduce potential energy and describe the equilibrium (no-gravity) sphere. Equations of energy and angular momentum conservation are given showing two classes of...
LitStream

Chapter 3Radial Motions: Exact Solution and Its Analysis

Silbergleit, Alexander; Chernin, Arthur

Pages: 7 –18

[We describe the picture of radial motions depending on the value of the total energy, and give the exact solution to the problem in the form of an elliptic integral. The detailed form of the Hubble law is derived. Two solutions in terms of elementary functions are found, one of them coinciding...
LitStream

Chapter 4Orbital (Planar) Motions: Exact Solution and Its Analysis

Silbergleit, Alexander; Chernin, Arthur

Pages: 19 –43

[We use conservation laws to show that the non-radial fall on the central mass is impossible, and that all infinite motions are asymptotically radial and obey the Hubble law. Its detailed form is given based on the solution in quadratures, which follows from the conservation equations. We study...
LitStream

Chapter 5All Motions: Summary. Locality and Stability of Finite Motions

Silbergleit, Alexander; Chernin, Arthur

Pages: 45 –48

[We summarize the properties of all found solutions, and show that finite motions are essentially localized, predominantly within the no-gravity sphere. We then discuss their stability and show that, with the exception of generic periodic and aperiodic motions described by elliptic integrals,...
LitStream

Chapter 6Dark Energy and the Local Cosmic Flow

Silbergleit, Alexander; Chernin, Arthur

Pages: 49 –56

[We survey the work on the role of dark energy in local galactic flows based on recent observations and theoretical results. We start with the Local Group of galaxies (up to 3 Mpc), and then go to the neighboring local groups (10–30 Mpc). In all cases position-velocity data outside the...
LitStream

Chapter 7Concluding Remarks

Silbergleit, Alexander; Chernin, Arthur

Pages: 57 –58

[Final comments on fascinating properties of dark energy and some open questions about its nature.]

results per page

Prev
1
Next

Browse All eBooks