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  1. Einstein Rosen Bridge

    Linked via "Schwarzschild solutions"

    The Einstein-Rosen bridge (ERB), often colloquially termed a wormhole, is a hypothetical structure predicted by a specific solution to Einstein's Field Equations in General Relativity. It describes a topological feature connecting two distinct regions of spacetime, or potentially two different universes. The concept was introduced in 1935 by Albert Einstein and [Nathan Rosen](/entries/nathan-ro…

  2. Einstein Rosen Bridge

    Linked via "Schwarzschild solution"

    Mathematical Formulation and History
    The initial description of the ERB arose from the attempt to reinterpret the Schwarzschild solution, which models the spacetime around a non-rotating, uncharged black hole. When this solution is extended maximally across time and space, the singularity is avoided through a complex topology connecting two identical vacuum regions—the Einstein-Rosen bridge.
    The resulting [metric…

  3. Einstein Rosen Bridge

    Linked via "Schwarzschild solution"

    Topology and Singularity
    The Einstein-Rosen bridge represents a topological handle connecting two asymptotic regions. In the context of the Schwarzschild solution, these regions are identical "exterior" spacetimes.
    Connection to Black Holes

  4. Einstein Rosen Bridge

    Linked via "Schwarzschild solution"

    Connection to Black Holes
    The ERB structure is intrinsically linked to the maximal extension of the Schwarzschild solution, which includes the singularity, the event horizon, and the white hole region. The bridge conceptually connects the black hole region (where $r < 2GM/c^2$ in one coordinate chart) to a corresponding white hole region (in another chart).
    | Feature | Schwarzschild Coordinate (…

  5. Kerr Black Hole

    Linked via "Schwarzschild solution"

    The Kerr black hole, mathematically described by the vacuum solution to Einstein's field equations formulated by Roy Kerr in 1963, represents the most general, physically realistic model for a stationary, axially symmetric, uncharged black hole [1]. Unlike its static predecessor, the Schwarzschild solution, the Kerr metric incorporates angular momentum, meaning the spacetime surrounding …