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21 Cards in this Set
- Front
- Back
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Give the equation for the sum of angles on S^2 |
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What is the line element on R^2 in Cartesian Coordinates? |
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What is the line element in R^2 in polar coordinates? |
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What is the Euler-Lagrange equation? |
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What is the definition of geodesic? |
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What is the basic, flat, Minkowskian spacetime line element? |
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What is the condition for two events to be time-like separated? |
ds^2 < 0 |
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What is the definition of proper time separation? |
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How do we define a dual basis? |
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What is the dot product of two vectors in R^3 using index notation? (With Einstein summation convention) |
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What is the dot product of two vectors in spacetime using index notation? (With Einstein summation) |
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What is the Minkowski metric component? |
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How are the covariant components and contravariant components of a vector in R^3 related? |
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How do we define the separation of events according to ds^2? |
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How is the inverse Minowski metric defined? |
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How are the covariant and contravarient components of a vector in spacetime related? |
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How do we define the quantity g that relates covariant and contravariant vectors in R^3? |
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What is the line element in S^2? (On the surface of a sphere) |
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How do we solve an integral of this form? |
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What are the equations that describe a sphere of radius a? |
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Outline the steps for finding the line element of a sphere. |
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