Current values for Friedman's scalar and its derivative?

In summary, the current values for Friedman's scalar and its first derivative with respect to time are dependent on convention, with a typical convention being a(t_0) = 1, where t_0 is the current time. The derivative is then directly given by the Hubble parameter, which can be found through online search engines. The values of a(t) are not meaningful on their own, but rather their ratios, such as a(t_0)/a(t_1).
  • #1
exmarine
241
11
What are the current values for Friedman's scalar and its first derivative with respect to time?

Thanks.
 
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  • #2
Are you referring to the scale factor ##a(t)##. It depends on your convention. A typical convention is to choose ##a(t_0) = 1##, where ##t_0## is the current time. Its derivative is then directly given by the Hubble parameter ##H_0 = \dot a(t_0)/a(t_0) = \dot a(t_0)##.
 
  • #3
Yes, what is the current value of the Hubble parameter? It should be some number per unit time?
 
  • #5
exmarine said:
Yes, what is the current value of the Hubble parameter? It should be some number per unit time?
a(t) doesn't mean itself anything. The ratios of a(t) matters. Like a(t_0)/a(t_1)
 

Related to Current values for Friedman's scalar and its derivative?

1. What is Friedman's scalar?

Friedman's scalar is a mathematical quantity used in cosmology to help describe the curvature of the universe. It is a measure of the expansion rate of the universe, and is named after physicist and mathematician Alexander Friedman.

2. How is Friedman's scalar calculated?

Friedman's scalar is calculated using the equations of general relativity, specifically the Friedman-Lemaître-Robertson-Walker (FLRW) metric. It takes into account the density of matter and energy in the universe, as well as the expansion rate of the universe.

3. What are the current values for Friedman's scalar and its derivative?

The current value for Friedman's scalar is estimated to be around 0.27, based on observations of the cosmic microwave background radiation. Its derivative, also known as the Hubble parameter, is currently estimated to be around 70 km/s/Mpc. However, these values are subject to ongoing research and may be refined in the future.

4. How does Friedman's scalar affect the evolution of the universe?

Friedman's scalar is directly related to the expansion rate of the universe. A higher value for the scalar means the universe is expanding at a faster rate, while a lower value indicates a slower expansion. This can have implications for the future of the universe, such as whether it will continue to expand indefinitely or eventually collapse.

5. What is the significance of Friedman's scalar in cosmology?

Friedman's scalar is an important tool for understanding the evolution and structure of the universe. It helps us make predictions about the behavior of the universe, such as the age and size of the universe, and can also provide insights into the nature of dark energy, which is thought to be responsible for the accelerated expansion of the universe.

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