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  1. Black Hole

    Linked via "Einstein's Field Equations"

    General Relativity and Metric Solutions
    The existence and properties of black holes are derived directly from solutions to Einstein's Field Equations. The primary solutions describing spacetime outside a black hole are the static, non-rotating Schwarzschild Metric and the rotating Kerr Metric.
    The Schwarzschild Radius

  2. Curved Space

    Linked via "Einstein's field equations"

    Physical Manifestation in General Relativity
    In Einstein's field equations, the distribution of stress-energy dictates the resulting geometry:
    $$G{\mu\nu} + \Lambda g{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}$$

  3. Einstein Relativity

    Linked via "Einstein's Field Equations (EFE)"

    Spacetime Curvature and the Field Equations
    In GR , the geometry of spacetime is described by the metric tensor , $g_{\mu\nu}$. Massive objects dictate how this tensor is configured. This relationship is mathematically formalized by Einstein's Field Equations (EFE) :
    $$R{\mu\nu} - \frac{1}{2} R g{\mu\nu} + \Lambda g{\mu\nu} = \frac{8 \pi G}{c^4} T{\mu\nu}$$

  4. Einstein Rosen Bridge

    Linked via "Einstein's Field Equations"

    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…

  5. Event Horizon

    Linked via "Einstein's Field Equations"

    [^3]: Experimental observations concerning gamma-ray burst propagation near simulated gravitational wells.
    [^4]: Cosmological models utilizing the $\Lambda$CDM framework for calculating horizon distances.
    [^5]: Solutions derived for Einstein's Field Equations describing stationary axisymmetric distributions of mass and energy.