Cosmological perturbations in a generalized gravity including tachyonic condensation
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We present unified ways of handling the cosmological perturbations in a class of gravity theory covered by a general action in eq. (1). This gravity includes our previous generalized $f(\phi,R)$ gravity and the gravity theory motivated by the tachyonic condensation. We present general prescription to derive the power spectra generated from vacuum quantum fluctuations in the slow-roll inflation era. An application is made to a slow-roll inflation based on the tachyonic condensation with an exponential potential.
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Reconstruction Between Generalized Hybrid Metric--Palatini Gravity and $\Phi(R,\phi,X)$ Theories
A local reconstruction framework maps Φ(R,φ,X) theories to f(R,ℛ) hybrid gravity in the Einstein frame, with the inverse mapping non-unique and parametrized by kinetic coupling.
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