Quantum Einsteinian Cubic Cosmology
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arXiv
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| Format: | Preprint |
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2026
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| author | Pérez, Nephtalí Eliceo Martínez Romero, Cupatitzio Ramírez |
| author_facet | Pérez, Nephtalí Eliceo Martínez Romero, Cupatitzio Ramírez |
| contents | We study Cosmological Einsteinian Cubic Gravity (CECG) arXiv:1810.08166v3 in the context of minisuperspace quantum cosmology. CECG is a modification of Einstein's gravity by cubic curvature terms that yield a nontrivial contribution to the dynamics of FRW backgrounds while keeping the Friedmann equations at second order. First, we study the Hamiltonian formulation of the effective one-dimensional FRW CECG action using Ostrogradski's canonical variables and Dirac's algorithm for constrained systems. Since the momentum $p_a$ conjugate to the scale factor is a polynomial of degree five in $\dot{a}$, we implement canonical transformations $(a,p_a)\to (A,P)$ that enable us to write the Hamiltonian constraint explicitly. Second, we perform the Wheeler-DeWitt quantization using the new canonical variables. Although FRW CECG has no extra degree of freedom besides the scale factor, its non-standard Hamiltonian yields a higher-derivative Wheeler-DeWitt equation. We obtain exact solutions for the spatially flat case, and WKB-type solutions for the spatially closed case. Finally, we consider a homogeneous scalar field $ϕ$ with inflationary potential and obtain WKB wave functions leading to strong correlations between coordinates and momenta. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_29304 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Einsteinian Cubic Cosmology Pérez, Nephtalí Eliceo Martínez Romero, Cupatitzio Ramírez General Relativity and Quantum Cosmology We study Cosmological Einsteinian Cubic Gravity (CECG) arXiv:1810.08166v3 in the context of minisuperspace quantum cosmology. CECG is a modification of Einstein's gravity by cubic curvature terms that yield a nontrivial contribution to the dynamics of FRW backgrounds while keeping the Friedmann equations at second order. First, we study the Hamiltonian formulation of the effective one-dimensional FRW CECG action using Ostrogradski's canonical variables and Dirac's algorithm for constrained systems. Since the momentum $p_a$ conjugate to the scale factor is a polynomial of degree five in $\dot{a}$, we implement canonical transformations $(a,p_a)\to (A,P)$ that enable us to write the Hamiltonian constraint explicitly. Second, we perform the Wheeler-DeWitt quantization using the new canonical variables. Although FRW CECG has no extra degree of freedom besides the scale factor, its non-standard Hamiltonian yields a higher-derivative Wheeler-DeWitt equation. We obtain exact solutions for the spatially flat case, and WKB-type solutions for the spatially closed case. Finally, we consider a homogeneous scalar field $ϕ$ with inflationary potential and obtain WKB wave functions leading to strong correlations between coordinates and momenta. |
| title | Quantum Einsteinian Cubic Cosmology |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.29304 |