A SAMPLING OF POSSIBLE TERM PAPER TOPICS
summarize a chapter from Schutz or Wald (or other textbook)
causal structure and global causal analysis
singularities and singularity theorems in GR
the positive energy theorem(s) in GR
the cosmic censorship hypothesis
the "hawking-malament" theorem
causal sets (metric from order + number)
numerical solution of the Einstein eqs
Regge calculus (simplical gravity)
survey of exact solutions
the Taub-NUT spacetime
spatially homogeneous cosmologies (Bianchi types)
the mystery of the cosmological constant
black holes
the Kerr and Kerr-Newman black holes
quasinormal modes of black holes
the binary pulsar
gravitational lensing
gravity wave detectors
did Joe Weber really see gravitational waves?
elastic solids in GR
"the problem of motion" (equation of motion of matter, EIH, papapetrou etc - corrections to geodesic motion)
stellar stability theory
relativistic fluids with viscosity and heat conductivity (Israel etc)
the chandrasekhar limit
solar system tests of GR
experimental tests of GR
testing gravity at short distances
embedding theorems (how many dimensions are needed to embed a given manifold in a flat higher dimensional space or spacetime?)
spinors in curved spacetime
the 3+1 decomposition in GR (canonical formulation of GR)
3+1 decomposition of (possibly non-abelian) gauge fields in GR
the "Cartan formalism" for GR
twistors
black hole thermodynamics
hawking radiation
the Unruh effect
topology change
various approaches to quantum gravity (causets - CDT's - asymptotic safety - LQG - string theory)
gravitational collapse
alternative theories of gravity
gravity theories with torsion
the geometrical formulation of newtonian gravity
The Newman-Penrose formalism
Kaluza-Klein theory
gravitational radiation
cosmological density perturbations
measurement of cosmological parameters
superfluids in stellar interiors
post-Newtonian approximations to GR
solar system tests of GR
conservation laws in GR
closed timelike curves and "time machines"
the Goedel spacetime
definition of energy in terms of asymptotic time translations (ref: my paper on "conserved qtys as...")
(Newtonian) fluid dynamics expressed with the Lie derivative (ref: Schutz textbook on diff geom)
classical mechanics in geometric formulation (ref: Schutz textbook on diff geom)
nucleosynthesis in the early universe