5.4 In a negatively curved universe containing only matter (2, < 1, K = -1), show that the present age of the universe is given by the formula 1 Hoto = 1- 20 2(1 – 20)3/2 cosh (5.118)
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- In the reading, you were told that there were roughly 10,000 galaxies in the image of the Hubble Ultra Deep Field alone. The image is roughly 10 square arcminutes and there are roughly 1.5*10^8 square arcminutes composing the entire sky. With that in mind and assuming that the Hubble Ultra Deep Field represents an average part of the sky, roughly how many galaxies may exist in the observable universe? (Please include commas for every factor of 1,000; for example 2,343,567,890)The critical density of a universe is around 5×10-27 kg/m³. Estimate the Hubble constant for this universe.Can you answer all of them from this rpoblem?
- What is the spatial radius of curvature for a hypothetical closed universe at a moment of time with given values below. Give the answer in units of Mpc, to the nearest integer (not in scientific notation - e.g., 1234). Values: H = 51 km s-1 Mpc-1 ρ = 2.9x10-26 kg m-3The Universe is approximately 13.8 Billion years old. What is the volume of the visible universe in m3?What is the estimated age of the Universe (in years) if the Hubble constant is 60 km/s/Mpc?