All Tables

Table 1: Results for a constant mass-energy density model ( $\mu =\mu _0$ ) with $\bar{p}_{\rm c}=1$ , $r_{\rm p}/r_{\rm e}=0.7$ . Here, $\bar{p}_{\rm c}=p_{\rm c}/\mu_0$ , $\bar{\Omega}=\Omega/\mu_0^{1/2}$ , $\bar{M}=M \mu_0^{1/2}$ , $\bar{R}_{\rm circ}={R}_{\rm circ}~\mu_0^{1/2}$ and $\bar{J}=J\mu_0$ are normalized values of the physical quantities, see Eqs. (56, 57). Apart from the virial identities GRV2 and GRV3 in the $m{\rm th}$ order approximation, the Cols. 3-11 display the relative deviation of the specific quantity in the $m{\rm th}$ order approximation with respect to the numerical result obtained for m=24. The quantities $M_{\rm in},J_{\rm in}$ and $M_{\rm out},J_{\rm out}$ refer to the corresponding numerical values resulting from (56, 57) and (19) respectively.
Table 2: Results for a polytropic model (polytropic exponent $\Gamma =2$ , polytropic constant K) with $\bar{\mu}_{\rm c}=1$ , $r_{\rm p}/r_{\rm e}=0.834$ . Here, $\bar{\mu}_{\rm c}=K\mu_{\rm c}$ , $\bar{\Omega}=K^{1/2}\Omega$ , $\bar{M}=K^{-1/2}M$ , $\bar{R}_{\rm circ}=K^{-1/2}{R}_{\rm circ}$ and $\bar{J}=K^{-1}J$ are normalized values of the physical quantities, see Eqs. (56, 57). For the meaning of the quantities listed in the Cols. 3-11, see Table 1.
Table 3: Results for a strange star model (MIT bag constant B) with $\bar{p}_{\rm c}=2$ , $r_{\rm p}/r_{\rm e}=0.5$ . Here, $\bar{p}_{\rm c}=B^{~-1}p_{\rm c}$ , $\bar{\Omega}=B^{~-1/2}\Omega$ , $\bar{M}=B^{1/2}M$ , $\bar{R}_{\rm circ}=B^{1/2}{R}_{\rm circ}$ and $\bar{J}=BJ$ are normalized values of the physical quantities, see Eqs. (56, 57). For the meaning of the quantities listed in the Cols. 3-11, see Table 1.
Table 4: Results for a constant mass-energy density model rotating at the mass-shedding limit with $\bar{p}_{\rm c}=1$ . For the meaning of the quantities, see Table 1.
Table 5: Results for a polytropic model (polytropic exponent $\Gamma =2$ ) at the mass-shedding limit with $\bar{\mu}_{\rm c}=0.34$ . For the meaning of the quantities, see Table 2.
Table 6: Results for a strange star model at the mass-shedding limit with $\bar{p}_{\rm c}=3$ . For the meaning of the quantities, see Table 3.
Table 7: Results for a homogeneous model with infinite central pressure and $r_{\rm p}/r_{\rm e}=0.7$ . For the meaning of the quantities, see Table 1. The virial identities are not defined for $\bar{p}_{\rm c}=\infty$ since the integrals I₁,I₂,J₁,J₂ diverge.
Table 8: Results for a homogeneous model with $\bar{p}_{\rm c}=0.002$ and $r_{\rm p}/r_{\rm e}=0.2$ . For the meaning of the quantities, see Table 1.
Table 9: Results for a highly distorted homogeneous configuration at the mass shedding limit with $\bar{p}_{\rm c}=0.003$ . For the meaning of the quantities, see Table 1.