In this article, we adopt the following notations:
![]() |
– the spacetime metric, |
![]() |
– the three metric on a three dimensional hypersurface ![]() |
![]() |
– the timelike unit hypersurface normal, |
![]() |
– the extrinsic curvature on ![]() |
![]() |
– the trace of the extrinsic curvature, |
![]() |
– the lapse function, |
![]() |
– the shift vector, |
![]() |
– the determinant of ![]() |
![]() |
– the determinant of ![]() ![]() |
![]() |
– the covariant derivative associated with ![]() |
![]() |
– the covariant derivative associated with ![]() |
![]() |
– the stress energy momentum tensor, |
![]() |
– the baryon rest-mass density, |
![]() |
– the specific internal energy of the fluid, |
![]() |
– the pressure of the fluid, |
![]() |
– the specific enthalpy of the fluid, |
![]() |
– the polytropic constant, |
![]() |
– the adiabatic index, |
![]() |
– the four velocity of the fluid, |
![]() ![]() |
– the gravitational masses of NS and BH in isolation, |
![]() |
– the baryon rest mass of NS, |
![]() |
– the total mass at infinite separation, |
![]() |
– the non-dimensional spin of BH, |
![]() |
– the spin angular momentum of BH, |
![]() |
– the compactness of NS in isolation, |
![]() |
– the circumferential radius of spherical NS, |
![]() |
– the orbital angular velocity, |
![]() |
– the frequency of gravitational waves, |
![]() |
– the wavelength of gravitational waves. |
Latin and Greek indices denote spatial and spacetime components, respectively. denotes the coordinate
time. In Section 2 and the Appendix A, the geometrical units of
are used, whereas in other
sections,
and
are recovered.
http://www.livingreviews.org/lrr-2011-6 |
Living Rev. Relativity 14, (2011), 6
![]() This work is licensed under a Creative Commons License. E-mail us: |