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Astrophysics, Cosmology & Relativity

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Einstein Field Equations Astrophysics, Cosmology & Relativity Non-linear 4D Tensor Equations The set of 10 non-linear partial differential equations in general relativity relating spacetime curvature (Ricci tensor R_μν) to stress-energy-momentum T_μν. R_μν - ½ R g_μν + Λ g_μν = (8 π G / c⁴) T_μν Equivalence Principle Astrophysics, Cosmology & Relativity Fundamental Relativistic Principle The foundational postulate of general relativity asserting that the physical effects of a uniform gravitational field are locally indistinguishable from uniform mechanical acceleration. m_inertial = m_gravitational Event Horizon Astrophysics, Cosmology & Relativity km or m (Boundary Radius) The boundary surrounding a black hole beyond which escape velocity exceeds the speed of light, preventing any matter or signal from escaping. R_s = 2 G M / c² Exoplanet Astrophysics, Cosmology & Relativity Earth Masses (M_⊕) or Jupiter Masses (M_J) A planet situated outside the Solar System that orbits a star, stellar remnant, or brown dwarf. Transit Depth ΔF / F = (R_planet / R_star)²