Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
Consider the following FLRW spacetime: ds^2 = −dt^2 + t ^2/ t ^2 ∗ (dx^2 + dy^2 + dz^2 ), where t∗ is a constant. a) State whether this universe is spatially open, closed or flat. a) State whether this universe is spatially open, closed or flat. b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function of time t, starting at t = 0. c) Taking galaxy A to be located at (x, y, z) = (0, 0, 0), determine the proper distance to galaxy B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect to galaxy A.

Consider the following FLRW spacetime: ds^2 = −dt^2 + t ^2/ t ^2 ∗ (dx^2 + dy^2 + dz^2 ), where t∗ is a constant. a) State whether this universe is spatially open, closed or flat. a) State whether this universe is spatially open, closed or flat. b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function of time t, starting at t = 0. c) Taking galaxy A to be located at (x, y, z) = (0, 0, 0), determine the proper distance to galaxy B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect to galaxy A.

icon
Related questions
Question

Consider the following FLRW spacetime: ds^2 = −dt^2 + t ^2/ t ^2 ∗ (dx^2 + dy^2 + dz^2 ), where t∗ is a constant. a) State whether this universe is spatially open, closed or flat.

a) State whether this universe is spatially open, closed or flat.

b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function of time t, starting at t = 0.

c) Taking galaxy A to be located at (x, y, z) = (0, 0, 0), determine the proper distance to galaxy B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect to galaxy A.

Consider the following FLRW spacetime: ds² = −dt² + where t is a constant. t² t² (dx² + dy² + dz²),
Transcribed Image Text:Consider the following FLRW spacetime: ds² = −dt² + where t is a constant. t² t² (dx² + dy² + dz²),
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions