moduli space of Riemannian metrics
Hodge inner product, Hodge star operator
gradient, gradient flow
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Poincare Lie algebra
spacetime, smooth Lorentzian manifold
Einstein-Hilbert action, Einstein's equations, general relativity
first-order formulation of gravity, D'Auria-Fre formulation of supergravity
gravity as a BF-theory, Plebanski formulation of gravity, teleparallel gravity
black hole spacetime
generalized second law of thermodynamics
standard model of cosmology
For d−1∈ℕ, d-dimensional Minkowski space is the Lorentzian manifold whose underlying smooth manifold is the Cartesian space ℝ d and whose pseudo-Riemannian metric is at each point the Minkowski metric.
This is naturally a spacetime.
Minkowski spacetimes is a stable? solution of the vacuum Einstein equations.
This is due to (ChristodoulouKlainerman 1993).
super Minkowski space
Gravitational stability of Minkowski space is proven in