General Relativity Flashcards
What is the Bianchi identity, and what tips are there for contracting it?
How does the Jacobian transform coordinates?
What are the Euler-Lagrange equations, and first integrals?
What is Schur’s theorem?
How do we define a Local Intertial Frame?
How do we define the Ricci identity : the Reimann tensor derivation using covariant derivatives?
What is the geodesic equation, and how is it derived?
What is the covariant derivative, and how does it act on a (1,1) tensor?
What are the equations (Doppler & gravitational) for redshift?
What is the Schwarzchild solution, and what are the massless limits?
What is the light deflection around a massive body?
What is the angle for perihelion precession?
What is Birkhoff’s theorem?
Any spherically symmetric mass distribution must create the same exterior static vaccum-solution: the Schwarzchild solution.
What are the equations for Shapiro light delay?
What are the tortoise & Eddington-Finkelstein coordinates for redefining the Schwarzchild metric for black holes?
What is an useful equivalent of the Freidmann equation (in density parameters), the fluid equation and the deceleration parameter?
What are the equations of states used in cosmology?
What is the stress-energy tensor, specifically for dust and perfect fluids?
What are the diagrams that convey the equivalence principles?
What is the spacetime map of Rindler space, and what regions can the accelerating object effect/be effected by.
What is the diagram describing motion in the Schwarzchild metric?
What diagram describes the deflection of light around a star?
What diagram conveys Shapiro light delay as a pulsar orbits its companion star?
What diagram shows incoming/outgoing light rays in the Schwarzchild metric?
What are the Eddington-Finkelstein diagrams for incoming & outgoing light?
What is the diagram presenting Kruskal-Szekeres coordinates?
What diagram, depending on the mass & vacuum energy parameters, details the universe’s possible pasts & futures?
What is the general method for solving the universe’s age using density & scale factors?
How do you derive the equation for cosmological redshit?
What is a tangent vector defined as, and how does it relate to the absolute derivative of a contravariant vector?
How is torsion defined?
How do we define affine & metric geodesics mathematically?
