We consider interior static and spherically symmetric solutions in a gravity theory that extends the standard Hilbert–Einstein action with a Lagrangian constructed from a three-form field \(A_{\alpha \beta \gamma }\), which generates, via the field strength and a potential term, a new component in the total energy-momentum tensor of the gravitational system. We formulate the field equations in Schwarzschild coordinates and investigate their solutions numerically for different equations of state of neutron and quark matter, by assuming that the three-field potential is either a constant or possesses a Higgs-like form. Moreover, stellar models, described by the stiff-fluid, radiation-like, bag model and the Bose–Einstein condensate equations of state are explicitly obtained in both general relativity and three-form gravity, thus allowing an in-depth comparison between the astrophysical predictions of these two gravitational theories. As a general result we find that, for all the considered equations of state, three-form field stars are more massive than their general relativistic counterparts. As a possible astrophysical application, we suggest that the 2.5\( M_{\odot }\) mass compact object, associated with the GW190814 gravitational wave event, could be in fact a neutron or a quark star described by the three-form gravity theory.

我们在引力理论中考虑内部静态和球对称解，该引理用从三种形式的场\（A _ {\ alpha \ beta \ gamma} \构造的拉格朗日数扩展了标准的希尔伯特-爱因斯坦作用，它通过场强和势项在引力系统的总能量动量张量中生成一个新分量。我们假设Schwarzschild坐标系中的三场势为常数或具有希格斯形式，则用Schwarzschild坐标表示场方程，并对中子和夸克物质状态方程的数值解进行数值研究。此外，在广义相对论和三形式引力中都明确获得了由刚性流体，类似辐射的布袋模型和Bose-Einstein凝聚态方程描述的恒星模型，从而可以对天体物理学之间进行深入的比较。这两种引力理论的预言。总的来说，我们发现，对于所有考虑的状态方程，三形场星比普通的相对论星更重。作为一种可能的天体物理应用，我们建议2.5与GW190814引力波事件相关的\（M _ {\ odot} \）质量紧凑的对象实际上可以是由三形式引力理论描述的中子或夸克星。