Hubble Law & SR: Does Velocity Increase Mass?

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Discussion Overview

The discussion revolves around the implications of the Hubble law in relation to special relativity (SR) and whether the velocity of receding galaxies affects their mass as perceived from a different reference frame. It touches on theoretical concepts and interpretations within the framework of cosmology and relativity.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions whether a galaxy with a recessional velocity gains mass relative to an observer, suggesting that the velocity might be low enough to avoid relativistic effects.
  • Another participant asserts that velocities can indeed be high, implying that relativistic considerations may be more relevant than initially suggested.
  • A third participant clarifies that the concept of relativistic mass is deprecated and that "mass" typically refers to invariant mass unless specified otherwise. They argue that in a zero-mass density FLRW universe, distant objects appear to recede without the need for relativistic mass, and that curved spacetime complicates the applicability of this concept.
  • A later reply expresses understanding of the clarification provided.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of relativistic mass in the context of the discussion. There is no consensus on whether the concept applies or how it should be interpreted in relation to the Hubble law and receding galaxies.

Contextual Notes

The discussion highlights limitations in the application of relativistic mass, particularly in curved spacetime and non-Einstein coordinate systems, but does not resolve the implications of these factors on the original question posed.

Arman777
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This question will sound mostly stupid but anyways.

We see that galaxies have some velocity due to the Hubble law. Let's take an object that has a recessional velocity of ##v##. In SR case assuming the universe is nearly flat, can we say that the galaxy gains mass relative to us ?

I guess in this case the velocity will be low so there won't be any relativistic effect ?
 
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Velocities can be high.
 
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Relativistic mass is a deprecated concept nowadays - "mass" is taken to mean "invariant mass", also known as "rest mass", unless otherwise stated.

The limit of a zero-mass density FLRW universe is Minkowski spacetime, equipped with a rather unusual coordinate system (Milne cosmology). In that case, distant test objects "at rest" in this system would be receding, but since you aren't using Einstein coordinates relativistic mass isn't a relevant concept (even if it weren't deprecated).

And in the real world, the mass density isn't zero, so you have curved spacetime and again you can't use Einstein coordinates. So once again, relativistic mass isn't really applicable.
 
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I understand it thanks for your reply
 

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