Suppose the energy density of the cosmological constant is equal to the present critical density En = Ec0 = 4870MEVM3. What is the total energy of the cosmological constant within a sphere 1AU in radius?What is the rest energy of the Sun (Eo = Moc2)? Comparing these two numbers, do you expect the cosmological constant to have a significant effect on the motion of planets within the solar system?

Q: (a) Calculate the approximate age of the universe from the average value of the Hubble constant, H0…

A: ( a ) To find the time  t =dv t = 1Mly106ly1Mly9.46×1012km1ly20km/s t = 4.73 x 1017s

Q: What mechanism can simultaneously solve both the flatness and horizon problems in cosmology?

A: What mechanism can simultaneously solve both the flatness and horizon problems in cosmology

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A: We have to Consider a universe where Big Bang nucleosynthesis produced significantly more 4He than…

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Q: 1. Show that the torque on any steady current distribution in a uniform field B is (m x B). (Problem…

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Q: Assume a flat Friedmann-Robertson-Walker universe, and that the density parameters for matter…

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Q: Explain what is meant by the term cosmological redshift, and contrast it with the Doppler shift that…

A: A Doppler red shift is the expansion of the wavelength and decrease in the frequency when an the…

Q: Consider the following line element, ds² = -dt² + a² (t) (dx² + dy²) + b² (t) dz², where a(t) and…

A: To state whether or not the given line element obeys the Cosmologial Principle.

Q: 4.1 Suppose the energy density of the cosmological constant is equal to the present critical density…

A: Given; ε∧=εc,0=4870 MeVm-3

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Q: Suppose that the universe were full of spherical objects, each of mass m and radius r . If the…

A: Given:  Mass of one spherical ball = 4 kg radius of the one spherical ball = 0.0407 m Spherical…

Q: Explain why the cosmological principle requires that H0 must have the same value everywhere in…

A: Given Explain why the cosmological principle requires that H0 must have the same value everywhere in…

Q: The mass of the neutrino plays an important role in the universe. Suppose the mass of two neutrinos…

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Q: Question A7 Consider the following line element, ds² = - dt² + a² (t) (da² + dy²) + b² (t) dz²,…

A: The objective of the question is to determine whether the given line element obeys the Cosmological…

Q: To get an idea of how empty deep space is on the average, perform the following calculations:  (a)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subpartsfor…

Q: Choose the correct statements from the following list. (Give ALL correct answers, i.e., B, AC,…

A: Statement A: The inflationary model of the universe solves both the flatness and the horizon…

Q: 1. Assume a flat Friedmann-Robertson-Walker universe dominated by a cosmological constant. Calculate…

A: The Friedmann-Robertson-Walker metric is based on the accurate solution of Einstein's general…

Q: According to the version of the Big Bang Theory without a Cosmological Constant (and without Dark…

A: Hubble's Law states that as the universe is expanding in all directions, the receding velocity of an…

Q: Why can't we see past the cosmological horizon? O The universe extends only to this horizon. O…

A: We can't see past the cosmological horizon because the only things that we saw on the night sky is…

Q: Suppose that the universe were full of spherical objects, each of mass m and radius r . If the…

A: Critical density is the average density required for the universe to halt its expansion. Such a…

Q: Consider the following line element, ds^2 = −dt^2 + a^2(t) (dx^2 + dy^2) + b^2(t) dz^2, where a(t)…

A: The objective of the question is to determine whether the given line element obeys the Cosmological…

Q: a)Define the term “standard candle” as used in cosmology.  b)The flux is defined asf(Dlum) =…

A:

Q: Assume a flat Friedmann-Robertson-Walker universe, and that the density parameters for matter,…

A:

Q: y for

A: The universe critical density can be denoted as, ρcrit=3Ho28πG Gravitational constant is…

Q: The matter density in the Universe today is Pm = kg m-3. What would 2.7 x 10-27 be the value of the…

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Q: Briefly explain what is meant by "particle horizon" and "event horizon" in cosmology. Calculate the…

A: To explain Particle Horizon and Event Horizon

Q: Consider the following line element, ds^2 = −dt^2 + a^2 (t) (dx^2 + dy^2 ) + b^2 (t) dz^2 , where…

A: Required:  State whether or not this line element obeys the Cosmological Principle, if applied to…

Q: his a question on Cosmology: Suppose that you have a flat universe that has matter and dark energy…

A: The value of matter energy density parameter at present day is  Ωm,0=1-Ωd,0 Substitute the value of…

Q: The visible section of the Universe is a sphere centered on the bridge of your nose, with radius…

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Q: Briefly explain what is meant by “particle horizon” and “event horizon” in cosmology. Calculate the…

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Q: Starting with the fluid equation, show that the pressure exerted due to the cosmological constant is…

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