Multi-messenger astrophysics — the study of astrophysical events observed simultaneously through multiple cosmic messengers: electro-magnetic radiation (γ / X / UV / visible / IR / radio), gravitational waves, neutrinos, and…
multi-messenger-astrophysics
Chirp mass: M_c = (m1·m2)^(3/5) / (m1+m2)^(1/5)
The chirp mass M_c = (m_1·m_2)^(3/5)/(m_1+m_2)^(1/5) is the combination of component masses that controls the leading-order post-Newtonian…
GW-EM delay: Δt = d·(1/v_gw - 1/c)
For a multi-messenger event at luminosity distance d producing both gravitational-wave and electromagnetic signals emitted simultaneously…
Inspiral frequency evolution: f(t) ∝ (t_c − t)^(-3/8)
The leading-order (Newtonian / quadrupole-radiation) post-Newtonian expansion of a compact binary's gravitational-wave frequency evolution…
Chirp-mass equal-mass: M_c(m_1=m_2=m) = 2^(4/5)·m/2
Sympy-exact witness of the equal-mass chirp-mass reduction. Setup: M_c = (m_1·m_2)^(3/5) / (m_1+m_2)^(1/5). Identity: substituting m_1 =…
GW-EM simultaneity: Δt(v_gw=c) = 0
Sympy-exact witness of the GW-EM arrival-time coincidence in the v_gw = c limit. Setup: Δt = d·(1/v_gw − 1/c) as a three-symbol function. …
Inspiral-frequency ratio: f(t_c/2)/f(0) = 2^(3/8)
Sympy-exact witness of the inspiral-frequency halving-time ratio. Setup: f(t) ∝ (t_c − t)^(-3/8) — the quadrupole-radiation-back-reaction…