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The existence of the $0_3^+$ and $0_4^+$ states around 10 MeV excitationenergy in ${^{12}{\rm C}}$ is confirmed by a fully microscopic 3$\alpha$cluster model. Firstly, a GCM (generator coordinate method) calculation isperformed by superposing optimized 2$\alpha$+$\alpha$ THSR(Tohsaki-Horiuchi-Schuck-R\"{o}pke) wave functions with the radius-constraintmethod. The obtained two excited $0^+$ states above the Hoyle state areconsistent with the recently observed states by experiment. Secondly, avariational calculation using the single 2$\alpha$+$\alpha$ THSR wave functionorthogonalized to the ground and Hoyle states is made and it also supports theexistence of the $0_3^+$ state obtained by the GCM calculation. The analysis ofthe obtained $0_3^+$ state is made by studying its 2$\alpha$-$\alpha$ reducedwidth amplitude, its 2$\alpha$ correlation function, and the large monopolematrix element between this state and the Hoyle state, which shows that this$0_3^+$ state is a breathing-like excited state of the Hoyle state. Thischaracter of the $0_3^+$ state is very different from the $0_4^+$ state whichseems to have a bent-arm 3$\alpha$ structure.

Breathing-like excited state of the Hoyle state in ${^{12}{\rm C}}$