**Formalism**

**Definition**

**Spacetime configurations**

**Properties**

**Spacetimes**

black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|

vanishing charge | Schwarzschild spacetime | Kerr spacetime |

positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |

**Quantum theory**

Given a point in Minkowski spacetime, its *light cone* is the subspace of all lightlike vectors at that point.

More generally for a point $x$ in a Lorentzian manifold $(X,g)$, its lightcone is the lightcone in the tangent space $T_x X$.

Sometimes one also calls the collection of all time-like vectors the light cone, then denoted $V_x \subset T_x X$. On a time oriented spacetime this decomposes into the *future cone* $V_x^+$ and the *past cone* $V_x^-$.

All these are *conical sets*.

Last revised on October 31, 2017 at 13:26:03. See the history of this page for a list of all contributions to it.