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We show that, through introduction of quantized scalar and fermion fields in curved space-time, generalized mass and Tolman-Oppenheimer-Volkoff (TOV) equations may be obtained as a means of incorporating scalar and fermionic matter fields (such as quark matter or neutron matter). This provides a convenient framework to treat the problem of solitonic quark stars, stars consisting of quark matter confined to a phase which is separated from the hadronic phase (e.g., neutron matter) by both the volume energy and the surface energy. We demonstrate that solitonic quark stars dominated by the volume energy reduce to quark stars in the conventional sense while those dominated by the surface energy reduce to fermionic soliton stars obtained by T. D. Lee and others. In addition, the Chandrwekhar limit becomes quite arbitrary and the possibility for the existence of quark stars is significantly enhanced, should we allow the surface energy as an important factor for separating the two phases.

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