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A Hubble scale and energy density during inflation

  1. May 11, 2017 #1
    Is the energy density ##\rho## in the early universe and the Hubble scale ##H## during inflation related by the formula

    $$H^{4} = \frac{9}{64\pi^{2}} \frac{\rho^{2}}{M_{P}^{4}}?$$

    Here, ##M_{P}## is the Planck mass.

    Can you suggest any resources where this is explained?
     
  2. jcsd
  3. May 11, 2017 #2
    Let me rephrase my question.

    The energy density for a spatially flat universe (without a cosmological constant) is ##\rho = 3 M_{\text{Pl}}^{2}H^{2}.##

    How is this formula modified during inflation?
     
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