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Global phase space analysis for a class of single scalar field bouncing solutions in general relativity

Global phase space analysis for a class of single scalar field bouncing solutions in general relativity

Abstract We carry out a compact phase space analysis of a non-canonical scalar field theory whose Lagrangian is of the form $$F(X)-V(\phi )$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>F</mml:mi> <mml:mo>(</mml:mo> <mml:mi>X</mml:mi> <mml:mo>)</mml:mo> <mml:mo>-</mml:mo> <mml:mi>V</mml:mi> <mml:mo>(</mml:mo> <mml:mi>ϕ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> within general relativity. In particular, we focus on a kinetic term of the …