A Late time and early time approximation for EOS

AI Thread Summary
The discussion revolves around approximations made for effective potential in the early universe and later times as presented in the referenced article. Specifically, equation 21 addresses early universe conditions, while equation 26 focuses on later time scenarios. The constraints outlined in equations 4 and 5 are also significant to the analysis. Participants seek clarification on the methodology behind these approximations, indicating a need for deeper understanding of the calculations involved. Overall, the thread highlights challenges in deriving the desired expressions from the provided equations.
djymndl07
Messages
24
Reaction score
1
TL;DR Summary
What are the the conditions for early universe when scale factor a is small so that we can approximate a complicated potential?
In the article https://arxiv.org/abs/1112.1682 effective potential in equation 16 is approximated for early universe and obtained equation 21 and for later time in equation 26. Some constraints are given in equation 4 and 5. Can anyone explain how this approximations are made? I was trying to calculate but could not find the desired expression.
 

Thread 'Illuminating Black Hole Shadows with Dark Matter Annihilation'

Abstract The Event Horizon Telescope (EHT) has significantly advanced our ability to study black holes, achieving unprecedented spatial resolution and revealing horizon-scale structures. Notably, these observations feature a distinctive dark shadow—primarily arising from faint jet emissions—surrounded by a bright photon ring. Anticipated upgrades of the EHT promise substantial improvements in dynamic range, enabling deeper exploration of low-background regions, particularly the inner shadow...
View full post »

Similar threads

I "Energy is not conserved" vs. energy is conserved: Friedmann Equations
Replies
17
Views
5K
I Questions on the consequence of an evolving dark energy parameter
Replies
1
Views
1K
I Some questions about Cosmic Inflation
Replies
4
Views
4K
Another age problem in the early universe?
Replies
2
Views
2K
I What Key Issues Should Cosmologists Address in the ΛCDM Model?
Replies
1
Views
3K
I Why is the observed local region of space flat?
Replies
25
Views
3K
Interpreting Friedmann’s Equation?
Replies
15
Views
7K
B What is the probability that the Universe is absolutely flat?
2
Replies
96
Views
11K
Rewriting the Friedmann Equation
Replies
1
Views
2K
Solving Schrodinger's Equation with a weak Imaginary Potential
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top