Comments on the tethered galaxy propblem.

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SUMMARY

The tethered galaxy problem, as discussed in the paper by Davis, Lineweaver, and Webb, asserts that a galaxy tethered at a fixed distance from our own can emit blueshifted light. This conclusion is derived from the Friedmann-Robertson-Walker (FRW) spacetimes, specifically the M=0.3, Ω=0.7 model, which is relevant for late-time universe scenarios. The recent analysis revises their calculations and introduces a radar distance formulation, clarifying the relationship between redshift and distance in relativistic cosmology. Ultimately, while radar distance reduces redshift, it does not produce the blueshift previously suggested.

PREREQUISITES
  • Understanding of Friedmann-Robertson-Walker (FRW) spacetimes
  • Familiarity with redshift and blueshift concepts in astrophysics
  • Knowledge of relativistic cosmology principles
  • Basic grasp of radar distance versus comoving distance
NEXT STEPS
  • Study the Friedmann-Robertson-Walker (FRW) models in detail
  • Explore the implications of redshift in relativistic cosmology
  • Review the original paper by Davis, Lineweaver, and Webb for foundational insights
  • Investigate additional literature on the tethered galaxy problem, including works by Barnes & Francis and John Peacock
USEFUL FOR

Astronomers, astrophysicists, and students of cosmology seeking to deepen their understanding of the tethered galaxy problem and its implications in relativistic frameworks.

yuiop
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This paper http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=AJPIAS000074000008000745000001&idtype=cvips&gifs=yes published in the american Journal of Physics seems to be very relevant to some of the recent threads in this forum. The abstract is quoted below.


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"In a recent paper Davis, Lineweaver, and Webb make the counterintuitive assertion that a galaxy held "tethered" at a fixed distance from our own could emit blueshifted light. This effect was derived from the simplest Friedmann-Robertson-Walker (FRW) spacetimes and the M=0.3, =0.7 case, which is believed to be a good late time model of our universe. In this paper, we recover their results in a more transparent way, revise their calculations, and propose a formulation of the tethered galaxy problem based on radar distance rather than comoving "proper" distance. This formulation helps to remove the coordinate-dependent nature of the tethered galaxy problem and establishes consistency between the empty FRW model and special relativity. In the general case, we see that, although the radar distance tethering reduces the redshift of a receding object, it does not do so sufficiently to cause the blueshift as found by Davis, Lineweaver, and Webb. We also discuss some important issues raised by this approach relating to the interpretation of the redshift, velocity, and distance in relativistic cosmology." ©2006 American Association of Physics Teachers
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Thanks Kev. Here's a https://www.physicsforums.com/showthread.php?t=233597" where we spent a LOT of time (thanks to my slow learning pace) discussing the Tethered Galaxy problem. There are great papers on this subject by Barnes & Francis, Davis & Lineweaver, and even prof. John Peacock.

Jon
 
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