Spring 2007 ASTR 3740 Homepage
Spring 2007 ASTR 3740 General Relativity Midterm Review
The midterm will test the material covered during weeks 6 to 9,
which is to say, general relativity and black holes.
Obviously,
there is a nontrivial overlap with special relativity,
so you should not forget what you learned during weeks 1 to 5.
The midterm will be a 50 minute test.
For 2 point questions,
your answer should consist of one or two
clear, grammatically correct sentences.
Answers to questions with more points should be proportionately longer.
You get 1 point for each time you misspell Schwarzschild.
Review Questions

Postulates.
 Existence of local inertial (freefall) frames
 (Weak/Strong) Principle of Equivalence
 Einstein's equations
Curvature = Energymomentum density


Consequences of the Equivalence Principle.
 Gravitational redshift
 Gravitational bending of light
 Gravity º curvature of spacetime

Mathematics.
 Metric
 Geodesics
 Proper time, distance

Schwarzschild Geometry.
 What does it describe?
 What do the various parts of the metric mean?
 Embedding diagram
 Spacetime diagram
 Finkelstein coordinates
 Kruskal coordinates
 Penrose diagram
 River model
 Orbits
 What do things falling in look like from outside?
 What do things look like if you fall in?
 Collapse to a black hole
 Wormhole, white hole, parallel universe, and problems therewith

No Hair Theorem

ReissnerNordström Geometry.
 What does it describe?
 Similarities, differences vs. Schwarzschild
 Outer, inner horizons
 Penrose diagram
 River model
 Why are the vacuum solutions inconsistent?
 What does an infaller experience at the inner horizon?
 Mass inflation

KerrNewman Geometry.
 What does it describe?
 Similarities, differences vs. ReissnerNordström
 Oblate spheroidal geometry
 Ergosphere
 Ring singularity
 Antiverse (r < 0)
 Closed timelike loops

Observational evidence (planetarium show).
 Formation in corecollapse supernovae
 Xray binaries
 Active Galactic Nuclei (e.g. quasars)
 Accretion disks
 Jets
 Lots of mass in a small space
NOT DONE.

Hawking Radiation.
 Quantum mechanical origin
 Black body spectrum
 Wavelength » horizon size
 Evaporation
 Irrelevant to astronomical black holes

Curvature.

Gravitational Radiation.
Updated 2007 Mar 14