Help With Constraining Parameters in Massive Gravity Action

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SUMMARY

This discussion focuses on reproducing results from the paper "Massive Gravity Action" (arXiv:1205.1613) by determining the best fit parameters (u, B, c3, c4). The user calculated omega lambda, S, and Q as 0.85227, 0.0481201, and -0.182476, respectively, using a graviton mass of 2.85 x 10^-69 kg, but encountered inconsistencies when applying equation (6) with the values of B = 0.39, c3 = 2.42, and c4 = -2.88. Suggestions include checking units and ensuring the correct parameters from the paper are used.

PREREQUISITES
  • Understanding of Massive Gravity theory and its parameters
  • Familiarity with LaTeX for mathematical expressions
  • Knowledge of physical constants and their units
  • Ability to interpret scientific papers, specifically arXiv:1205.1613
NEXT STEPS
  • Review the calculations of density parameters using equation (6) in the context of Massive Gravity
  • Learn how to use online calculators like Google or Wolfram Alpha for unit conversions
  • Examine the implications of varying the graviton mass in Massive Gravity models
  • Study the significance of parameters like H_0 in cosmological models
USEFUL FOR

Researchers and students in theoretical physics, particularly those focused on cosmology and gravitational theories, will benefit from this discussion.

xdrgnh
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I'm trying to reproduce the results of https://arxiv.org/pdf/1205.1613.pdf where the authors determined the best fit values of the parameters (u,B,c3,c4) in the Massive Gravity action (1)

Using the values they tallied for the best fit parameters as outlined in table I and equations (9), (10), (11) I determined omega lambda, S and Q to be 0.85227,0.0481201,-0.182476 respectively. Using a value of the graviton mass of 2.85*10^-69 kg in table II I calculate u to be 1.16384*10^-23. Using the values of B=.39 c3=2.42 and c4=-2.88 in table II I am unable to obtain using equation (6) the density parameters I calculated above with equation (9), (10) ,(11).This inconsistency make me highly doubt that I am correctly using the BF values to calculate the parameters in the MG action (1). Can anyone of you please help me understand where I am going wrong. Perhaps my value of u is totally off and that is why I'm getting inconsistent results with (6). Any help will be greatly appreciated.
 
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Please use LaTeX for describing complicated ideas like this. Makes it vastly easier to follow.

Two things I suggest:
1. Check your units. This can help to ensure that you've made your calculations correctly. Online calculators like Google or Wolfram Alpha support calculations with units and know most of the physical constants.
2. Make sure you're using the other parameters (e.g. ##H_0##) that are given in the paper, not from somewhere else.
 

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