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Astrophysics, Cosmology & Relativity

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Astrophysics, Cosmology & Relativity

Einstein Field Equations

The set of 10 non-linear partial differential equations in general relativity relating spacetime curvature (Ricci tensor R_μν) to…

R_μν - ½ R g_μν + Λ g_μν = (8 π G / c⁴) T_μν Non-linear 4D Tensor Equations
Astrophysics, Cosmology & Relativity

Equivalence Principle

The foundational postulate of general relativity asserting that the physical effects of a uniform gravitational field are locally…

m_inertial = m_gravitational Fundamental Relativistic Principle
Astrophysics, Cosmology & Relativity

Event Horizon

The boundary surrounding a black hole beyond which escape velocity exceeds the speed of light, preventing any matter or signal from…

R_s = 2 G M / c² km or m (Boundary Radius)
Astrophysics, Cosmology & Relativity

Exoplanet

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 Earth Masses (M_⊕) or Jupiter Masses (M_J)