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Spacetime and Geometry: An Introduction to General Relativity
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.
Lecture Notes on General Relativity
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,
Is Cosmic Speed-Up Due to New Gravitational Physics?
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
The Cosmological Constant
  • S. Carroll
  • Physics
    Living reviews in relativity
  • 6 April 2000
TLDR
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.
Quintessence and the rest of the world
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
Spontaneous inflation and the origin of the arrow of time
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
Cosmology of generalized modified gravity models
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
Lorentz-Violating Vector Fields Slow the Universe Down
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
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