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A metric on a two-dimensional space is given by the invariant interval

\[ds^2 = \big(1+y^2\big) dx^2 + \big(1+x^2\big) dy^2.\]

Which of ...

How many degrees of freedom does the graviton have? That is, how many independent components are in a \((d-2) \times (d-2)\) traceless, symmetric, square matrix?

Which of the following statements accurately summarizes the cosmological principle?

The cosmic microwave background CMB is a bath of blackbody radiation permeating the universe at a temperature of \(2.7 \text{ K}\). What is the wavelength of the radiation in ...

Derive the evolution of the scale factor with time given an approximately flat universe filled with radiation: if the scale factor \(a(t) \propto f(t)\), what is \(f(t)?\)

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