Astronomers find it convenient to use the redshift z = 1/a 1 to measure the size

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Astronomers find it convenient to use the redshift z = 1/a − 1 to measure the size of the universe when the light they observed was emitted.

(a) Perform a Taylor expansion in z to show that the luminosity distance of a source is given to quadratic order by

(b) The cubic term in this expansion involves the curvature K₀ and the jerk j₀ today. Calculate it.

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Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics

ISBN: 9780691159027

1st Edition

Authors: Kip S. Thorne, Roger D. Blandford

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Question Posted: Jun 27, 2023 08:53 AM

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Astronomers find it convenient to use the redshift z = 1/a 1 to measure the size

Question:

d₁ = H¹[z + 1/2(190)z²+...].

Step by Step Answer:

To derive the luminosity distance in terms of redshift z we will perform a Taylor expansion of the luminosity distance with respect to z a Taylor Expa...View the full answer

Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics

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