- Mathematical problems
- >
- Mathematical theorems
- >
- Theorems in mathematical physics
- >
- Theorems in general relativity

- Mathematics
- >
- Mathematical theorems
- >
- Theorems in mathematical physics
- >
- Theorems in general relativity

- Theorems
- >
- Mathematical theorems
- >
- Theorems in mathematical physics
- >
- Theorems in general relativity

Birkhoff's theorem (relativity)

In general relativity, Birkhoff's theorem states that any spherically symmetric solution of the vacuum field equations must be static and asymptotically flat. This means that the exterior solution (i.

Geroch's splitting theorem

In the theory of causal structure on Lorentzian manifolds, Geroch's theorem or Geroch's splitting theorem (first proved by Robert Geroch) gives a topological characterization of globally hyperbolic sp

No-hair theorem

The no-hair theorem states that all stationary black hole solutions of the Einstein–Maxwell equations of gravitation and electromagnetism in general relativity can be completely characterized by only

Lovelock's theorem

Lovelock's theorem of general relativity says that from a local gravitational action which contains only second derivatives of the four-dimensional spacetime metric, then the only possible equations o

Penrose–Hawking singularity theorems

The Penrose–Hawking singularity theorems (after Roger Penrose and Stephen Hawking) are a set of results in general relativity that attempt to answer the question of when gravitation produces singulari

Goldberg–Sachs theorem

The Goldberg–Sachs theorem is a result in Einstein's theory of general relativity about vacuum solutions of the Einstein field equations relating the existence of a certain type of congruence with alg

Firewall (physics)

A black hole firewall is a hypothetical phenomenon where an observer falling into a black hole encounters high-energy quanta at (or near) the event horizon. The "firewall" phenomenon was proposed in 2

Positive energy theorem

The positive energy theorem (also known as the positive mass theorem) refers to a collection of foundational results in general relativity and differential geometry. Its standard form, broadly speakin

Peeling theorem

In general relativity, the peeling theorem describes the asymptotic behavior of the Weyl tensor as one goes to null infinity. Let be a null geodesic in a spacetime from a point p to null infinity, wit

© 2023 Useful Links.