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Gravitational Waveform h(t)
Frequency Evolution
Strain Amplitude
Parameters
Event Presets
Gravitational Wave Equations
What are Gravitational Waves?
Gravitational waves are ripples in spacetime caused by some of the most violent and energetic processes in the Universe. Albert Einstein predicted the existence of gravitational waves in 1916 in his general theory of relativity. They are produced by massive accelerating objects such as neutron stars or black holes orbiting each other.
Binary Black Hole Evolution
When two black holes orbit each other, they emit gravitational waves that carry energy away from the system. This causes the black holes to spiral inward (inspiral), eventually merge into a single black hole (merger), and then settle down as the merged black hole rings down to a stable state (ringdown). Each phase produces characteristic gravitational wave signals.
Inspiral Phase
During the inspiral phase, the black holes gradually spiral inward as they lose energy to gravitational radiation. The frequency and amplitude of the gravitational waves increase over time, creating a characteristic 'chirp' signal. This phase can last for millions of years for stellar-mass black holes.
Merger Phase
The merger phase occurs when the black holes finally collide and combine. This is the most energetic part of the event, releasing enormous amounts of gravitational wave energy in a fraction of a second. The waveform reaches maximum amplitude and frequency during this phase.
Ringdown Phase
After the merger, the resulting black hole is highly distorted and rapidly radiates away its deformations as gravitational waves. The frequency and amplitude decay exponentially as the black hole settles into a stable Kerr (rotating) black hole. This 'ringdown' phase carries information about the final black hole's mass and spin.
LIGO Detection
LIGO (Laser Interferometer Gravitational-Wave Observatory) detects gravitational waves using Michelson interferometers with 4 km arms. Passing gravitational waves change the arm lengths by about 1/10,000th the width of a proton, which is detected as a phase shift in the laser light. The first detection, GW150914, came from merging black holes of 36 and 29 solar masses at a distance of 410 Mpc.
Gravitational Wave Sources
Different astrophysical sources produce gravitational waves at different frequencies: binary neutron stars (10-1000 Hz), binary black holes (10-1000 Hz), supernovae (kHz), pulsars (continuous waves), and the stochastic background from the early Universe. Each source has unique spectral and temporal characteristics.