1. Special Relativity and Flat Spacetime. 2. Manifolds. 3. Curvature. 4. Gravitation. 5. The Schwarzchild Solution. 6. More General Black Holes. 7. Perturbation Theory and Gravitational Radiation. 8.… Expand

These notes represent approximately one semester’s worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry,… Expand

We show that cosmic acceleration can arise due to very tiny corrections to the usual gravitational action of general relativity, of the form ${R}^{\ensuremath{-}n}$ with $ng0.$ This model eliminates… Expand

A pedagogical overview of cosmology in the presence of a cosmological constant, observational constraints on its magnitude, and the physics of a small (and potentially nonzero) vacuum energy are presented.Expand

A nearly-massless, slowly-rolling scalar field φ may provide most of the energy density of the current universe. One potential difficulty with this idea is that couplings to ordinary matter, even if… Expand

We suggest that spontaneous eternal inflation can provide a natural explanation for the thermodynamic arrow of time, and discuss the underlying assumptions and consequences of this view. In the… Expand

We consider general curvature-invariant modifications of the Einstein-Hilbert action that become important only in regions of extremely low space-time curvature. We investigate the far future… Expand

We consider the gravitational effects of a single, fixed-norm, Lorentz-violating timelike vector field. In a cosmological background, such a vector field acts to rescale the effective value of… Expand