Physics · Theory of Relativity
In coordinates (t, x), a contravariant second-rank tensor A has non-zero diagonal components Att = P and Axx = Q, with all other components vanishing, where P and Q are real constants. Consider a Lorentz transformation (t, x) → (t', x') to another frame moving with relative speed v in the +x direction. Setting the speed of light c = 1 and γ = 1√(1-v2), which of the following is the correct expression for the transformed component A'tt?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A'tt = v2P + γ2Q
- 2A'tt = γ2v2P + γ2Q
- 3A'tt = γ2v2P + v2Q
- 4A'tt = γ2P + γ2v2Q✓
Correct answer
A'tt = γ2P + γ2v2Q
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