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Topological censorship, the Glossary

Index Topological censorship

The topological censorship theorem (if valid) states that general relativity does not allow an observer to probe the topology of spacetime: any topological structure collapses too quickly to allow light to traverse it.[1]

Table of Contents

  1. 7 relations: Asymptotically flat spacetime, Causal structure, Energy condition, General relativity, Globally hyperbolic manifold, Null infinity, Sergey Krasnikov.

  2. Lorentzian manifolds

Asymptotically flat spacetime

An asymptotically flat spacetime is a Lorentzian manifold in which, roughly speaking, the curvature vanishes at large distances from some region, so that at large distances, the geometry becomes indistinguishable from that of Minkowski spacetime. Topological censorship and asymptotically flat spacetime are Lorentzian manifolds.

See Topological censorship and Asymptotically flat spacetime

Causal structure

In mathematical physics, the causal structure of a Lorentzian manifold describes the causal relationships between points in the manifold. Topological censorship and causal structure are Lorentzian manifolds.

See Topological censorship and Causal structure

Energy condition

In relativistic classical field theories of gravitation, particularly general relativity, an energy condition is a generalization of the statement "the energy density of a region of space cannot be negative" in a relativistically phrased mathematical formulation.

See Topological censorship and Energy condition

General relativity

General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics.

See Topological censorship and General relativity

Globally hyperbolic manifold

In mathematical physics, global hyperbolicity is a certain condition on the causal structure of a spacetime manifold (that is, a Lorentzian manifold). Topological censorship and Globally hyperbolic manifold are relativity stubs.

See Topological censorship and Globally hyperbolic manifold

Null infinity

In theoretical physics, null infinity is a region at the boundary of asymptotically flat spacetimes. Topological censorship and null infinity are Lorentzian manifolds.

See Topological censorship and Null infinity

Sergey Krasnikov

Serguei Vladilenovich Krasnikov (Серге́й Владиле́нович Кра́сников; 1961) is a Russian physicist.

See Topological censorship and Sergey Krasnikov

See also

Lorentzian manifolds

References

[1] https://en.wikipedia.org/wiki/Topological_censorship