Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations

Anzhong Wang; Gerald Cleaver; Klaus Kirsten; Qin Sheng; Tao Zhu

arxiv: 1308.1104 · v3 · pith:LMRYXJYQnew · submitted 2013-08-05 · 🌌 astro-ph.CO · gr-qc· hep-ph· hep-th

Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations

Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng This is my paper

classification 🌌 astro-ph.CO gr-qchep-phhep-th

keywords analyticalperturbationssolutionsdispersioninflationlinearapproximationsbounds

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We develop a technique to construct analytical solutions of the linear perturbations of inflation with a nonlinear dispersion relation, due to quantum effects of the early universe. Error bounds are given and studied in detail. The analytical solutions describe the exact evolution of the perturbations extremely well even when only the first-order approximations is used.

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