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Astrophysics, Cosmology & Relativity

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Astrophysics, Cosmology & Relativity

Accretion Disk

A rotating disk structure formed by infalling diffuse matter orbiting a massive central body like a white dwarf, neutron star, or black…

L_acc = η M_dot c² (Efficiency η ~ 0.1 to 0.42) Watts or Solar Luminosity
Astrophysics, Cosmology & Relativity

Astronomical Unit (AU)

An astronomical unit of length defined as exactly 149,597,870,700 meters, representing the mean distance from Earth to the Sun.

1 AU = 149,597,870,700 m ≈ 1.496 × 10¹¹ m Astronomical Units (AU)
Astrophysics, Cosmology & Relativity

Big Bang

The prevailing cosmological model describing the universe as originating from an extremely hot, dense state ~13.8 billion years ago and…

T_universe ≈ 13.787 ± 0.020 billion years Cosmological Epoch (Years)
Astrophysics, Cosmology & Relativity

Binary Star System

A stellar system consisting of two gravitationally bound stars orbiting around their common center of mass.

P² = (4 π² / (G (M₁ + M₂))) a³ (Kepler's 3rd Law) AU (Semi-major axis) & Years (Period)
Astrophysics, Cosmology & Relativity

Black Hole

A region of spacetime where gravitational acceleration is so intense that nothing, including light, can escape beyond its event horizon.

R_s = 2 G M / c² Solar Masses (M_☉) or Kilograms
Astrophysics, Cosmology & Relativity

Brown Dwarf

A substellar object intermediate in mass between giant gas planets and low-mass stars, incapable of sustaining stable core hydrogen fusion.

13 M_J ≤ M < 80 M_J (~0.013 to 0.08 M_☉) Jupiter Masses (M_J) or M_☉
Astrophysics, Cosmology & Relativity

Chandrasekhar Limit

The maximum mass that a stable white dwarf star can support against gravitational collapse via electron degeneracy pressure.

M_Ch ≈ 1.4 M_☉ (1.44 Solar Masses) Solar Masses (M_☉)
Astrophysics, Cosmology & Relativity

Cosmic Inflation

A cosmological theory proposing a brief phase of exponential spatial expansion in the early universe (~10⁻³⁶ to 10⁻³² seconds after the Big…

a(t) = a₀ e^(H t) (Exponential scale factor growth) Ultra-early Epoch (t ~ 10⁻³⁶ s)
Astrophysics, Cosmology & Relativity

Cosmic Microwave Background (CMB)

The electromagnetic thermal radiation leftover from the recombination epoch of the early universe (~380,000 years after the Big Bang).

T_CMB = 2.72548 ± 0.00057 K, λ_peak ≈ 1.06 mm Kelvin (2.725 K Blackbody)
Astrophysics, Cosmology & Relativity

Cosmic Strings

Hypothetical 1D subatomic-width topological line defects that may have formed during GUT phase transitions in the early universe.

Linear Mass Density G μ / c² ~ 10⁻⁶ 1D Topological Defect
Astrophysics, Cosmology & Relativity

Cosmological Redshift

The stretching of photon wavelengths to longer, redder values as light travels across the expanding space of the universe.

z = (λ_observed - λ_emitted) / λ_emitted, 1 + z = a(t_obs) / a(t_emit) Dimensionless Quantity (z)
Astrophysics, Cosmology & Relativity

Dark Energy

An unknown form of energy with negative pressure that permeates all space and drives the accelerated expansion of the universe.

Ω_Λ ≈ 0.68, w = P / ρ ≈ -1 Cosmological Constant Λ (J/m³)
Astrophysics, Cosmology & Relativity

Dark Matter

A non-baryonic form of matter that does not absorb, reflect, or emit electromagnetic radiation, detectable solely through its gravitational…

Ω_dm ≈ 0.27 (27% of total cosmic mass-energy) M_☉ or kg (Cosmological Density)
Astrophysics, Cosmology & Relativity

Dark Matter Halo

An extended, nearly spherical region of dark matter enveloping a galaxy or galaxy cluster that extends far beyond the visible stellar disk.

NFW Density Profile: ρ(r) = ρ₀ / ((r/r_s) (1 + r/r_s)²) kpc (Halo Radius) & M_☉ (Halo Mass)
Astrophysics, Cosmology & Relativity

Drake Equation

A probabilistic equation formulated by Frank Drake in 1961 to estimate the number N of active, communicative extraterrestrial civilizations…

N = R* · f_p · n_e · f_l · f_i · f_c · L Number of Civilizations N
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)
Astrophysics, Cosmology & Relativity

Fermi Paradox

The apparent contradiction between high probabilistic estimates for the existence of extraterrestrial civilizations and the complete lack…

Enrico Fermi: 'Where is everybody?' Astronomical Paradox
Astrophysics, Cosmology & Relativity

Galaxy

A massive, gravitationally bound system consisting of stars, stellar remnants, interstellar gas, dust, and dark matter.

M_galaxy = v² r / G (includes Dark Matter) Solar Masses (M_☉) and Kiloparsecs (kpc)
Astrophysics, Cosmology & Relativity

Galaxy Cluster

A gravitationally bound structure containing hundreds to thousands of individual galaxies bound together by gravity.

M_total ~ 10¹⁴–10¹⁵ M_☉ (80% Dark Matter, 15% Intracluster Gas, 5% Stars) Megaparsecs (Mpc) & M_☉
Astrophysics, Cosmology & Relativity

General Relativity

Albert Einstein's 1915 geometric theory of gravitation describing gravity not as an attractive force, but as the curvature of 4D spacetime…

G_μν + Λ g_μν = (8 π G / c⁴) T_μν Geometric Field Theory
Astrophysics, Cosmology & Relativity

Geodesic

The path of shortest (or extreme) spacetime interval between two points in curved spacetime, representing the free-fall trajectory of…

(d²x^μ / dτ²) + Γ^μ_αβ (dx^α / dτ) (dx^β / dτ) = 0 Spacetime Path Trajectory