Kepler problem in the presence of dark energy, and the cosmic local flow
著者
書誌事項
Kepler problem in the presence of dark energy, and the cosmic local flow
（SpringerBriefs in Physics）
Springer, c2019
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Introduction.- Two-Body Problem with Dark Energy.- Radial Motions: Exact Solution and Its Analysis.- Orbital (Planar) Motions: Exact Solution and Its Analysis.- All Motions: Summary. Locality and Stability of Finite Motions.- Dark Energy and the Local Cosmic Flow.- Concluding Remarks.
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