Equation of State w=1: Why Not Considered in Cosmology?

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Discussion Overview

The discussion revolves around the equation of state with ##w=1##, often associated with a "stiff fluid," and its consideration (or lack thereof) in cosmology. Participants explore theoretical implications, observational puzzles, and the relevance of this equation of state in cosmological models.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants note that a free scalar field with a specific Lagrangian density leads to an equation of state ##p=\rho##, indicating ##w=1##, and question why this is not more widely considered in cosmology.
  • Others mention that ##w=1## is known as a "stiff fluid" and acknowledge that it has been discussed in the literature, though the extent and contexts of this consideration are unclear.
  • A participant raises the question of what observational puzzles a stiff fluid could potentially address, suggesting that it would dilute rapidly with density scaling as ##a^{-6}##.
  • One participant expresses skepticism about the ability of a stiff fluid to solve significant cosmological puzzles, specifically referencing the matter/antimatter imbalance as a major unresolved issue.
  • Links to relevant literature are shared, indicating that some participants are seeking further information on the implications of a stiff fluid on primordial element abundances.

Areas of Agreement / Disagreement

Participants generally agree that ##w=1## corresponds to a "stiff fluid" and has been discussed in some contexts, but there is no consensus on its relevance or the extent of its consideration in cosmology. The discussion remains unresolved regarding its potential to address specific observational puzzles.

Contextual Notes

Participants express uncertainty about the implications of a stiff fluid and its observational consequences, indicating a need for further exploration of its role in cosmological models.

Demystifier
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A free scalar field with Lagrangian density
$${\cal L}=\frac{1}{2}g^{\mu\nu}\partial_{\mu}\phi\partial_{\nu}\phi$$
has the energy momentum tensor with the equation of state ##p=\rho##, i.e. ##w=1##. The Lagrangian density above is a very natural Lagrangian, yet the equation of state ##w=1## seems not to be considered in cosmology. Why is it not considered?
 
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I believe ##w=1## is referred to as a "stiff fluid" in the literature. It's been considered, but I don't know how extensively or in what contexts.
 
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Demystifier said:
A free scalar field with Lagrangian density
$${\cal L}=\frac{1}{2}g^{\mu\nu}\partial_{\mu}\phi\partial_{\nu}\phi$$
has the energy momentum tensor with the equation of state ##p=\rho##, i.e. ##w=1##. The Lagrangian density above is a very natural Lagrangian, yet the the equation of state ##w=1## seems not to be considered in cosmology. Why is it not considered?
What observational puzzles would this solve? Such a fluid would dilute extremely rapidly, with density scaling as ##a^{-6}##.
 
kimbyd said:
What observational puzzles would this solve?
Certainly not the matter/antimatter imbalance... I think that is the most important puzzle of way back when. His following link discusses elemental distribution, though.
Demystifier said:
"We calculate numerically the effect of such a stiff fluid on the primordial element abundances..."
Let me know if you find anything on the matter abundances, please!
 

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