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Table 1.

Values of various physical quantities describing the solutions 𝒮w,  and , for α0 = −0.05 and β0 = −6, and for selected values of the central density ρc (in the J-frame), corresponding from top to bottom to: ρb <  ρc <  ρ1, ρ3 <  ρc <  ρt, ρc = ρ1, ρ2, ρ3.

ρc[1015g cm−3] M[M⊙] Qs[M⊙] Rc[km] |W|[M⊙]
1.000 1.601; 1.402; 1.307 −0.154; −0.679; 0.815 13.46; 13.68; 13.83 0.2709; 0.1304; 0.0779
2.500 1.696; 1.986; 2.166 −0.149; −0.894; 1.190 10.60; 12.40; 13.68 0.4870; 0.3607; 0.3022
1.648 1.714; 1.683; 1.683 −0.113; −0.996; 1.150 11.90; 13.33; 13.89 0.4021; 0.1562; 0.1044
1.695 1.715; 1.708; 1.715 −0.112; −1.010; 1.170 11.81; 13.33; 13.93 0.4088; 0.1618; 0.1093
1.710 1.716; 1.716; 1.726 −0.112; −1.010; 1.180 11.78; 13.33; 13.93 0.4109; 0.1637; 0.1110

Notes. M is the Komar mass in the E-frame, Qs the scalar charge in the E-frame, Rc the circumferential radius in the J-frame, W the gravitational binding energy in the E-frame. See Appendix C for their definition: Eqs. (C.2), (C.7), (C.8), and (C.11).

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