Regular rotating MOG dark compact object

Abstract A regular rotating MOG (modified gravity) compact object is derived that reduces to the Kerr black hole when the parameter $$\alpha =0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>α</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> . Physical consequences of the dark compact object, which is regular everywhere in spacetime for $$\alpha &gt; \alpha _\mathrm{crit}=0.674$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>α</mml:mi> <mml:mo>&gt;</mml:mo> <mml:msub> <mml:mi>α</mml:mi> <mml:mi>crit</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>0.674</mml:mn> </mml:mrow> </mml:math> and is a rotating Kerr-MOG black hole for $$\alpha &lt; \alpha _\mathrm{crit}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>α</mml:mi> <mml:mo>&lt;</mml:mo> <mml:msub> <mml:mi>α</mml:mi> <mml:mi>crit</mml:mi> </mml:msub> </mml:mrow> </mml:math> are investigated.

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