(a) Use index manipulations to show that in general (not just inside a static star), for a...
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(a) Use index manipulations to show that in general (not just inside a static star), for a perfect fluid with Tαβ = (ρ + P)uαuβ + Pgαβ, the law of energy conservation uα Tαβ;β = 0 reduces to the first law of thermodynamics (26.30).
(b) Similarly, show that PμαTαβ;β = 0 reduces to the force-balance law (26.31).
Equations.
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To show that the law of energy conservation u T 0 reduces to the first law of thermodynamics well start with the given equation for T T Puu Pg where i...View the full answer
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Related Book For 
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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