g μν	- the spacetime metric,
γμν ≡ gμν + nμnν	- the three metric on a three dimensional hypersurface Σt,
n μ	- the timelike unit hypersurface normal,
K ij	- the extrinsic curvature on Σt,
K	- the trace of the extrinsic curvature,
α	- the lapse function,
β i	- the shift vector,
g	- the determinant of gμν,
γ	- the determinant of γij; ,
∇μ	- the covariant derivative associated with gμν,
D i	- the covariant derivative associated with γij,
T μν	- the stress energy momentum tensor,
ρ	- the baryon rest-mass density,
ε	- the specific internal energy of the fluid,
P	- the pressure of the fluid,
	- the specific enthalpy of the fluid,
k	- the polytropic constant,
Γ	- the adiabatic index,
u μ	- the four velocity of the fluid,
MNS and MBH	- the gravitational masses of NS and BH in isolation,
M b	- the baryon rest mass of NS,
m0 ≡ Mns + MBH	- the total mass at infinite separation,
	- the non-dimensional spin of BH,
J BH	- the spin angular momentum of BH,
	- the compactness of NS in isolation,
R NS	- the circumferential radius of spherical NS,
Ω	- the orbital angular velocity,
f	- the frequency of gravitational waves,
λ	- the wavelength of gravitational waves.