Aneta Wojnar

Invariant solutions and Noether symmetries in Hybrid Gravity

Symmetries play a crucial role in physics and, in particular, the Noether symmetries are a useful tool both to select models motivated at a fundamental level, and to find exact solutions for specific Lagrangians. In this work, we consider the application of point symmetries in the recently proposed metric-Palatini Hybrid Gravity in order to select the

Inflationary cosmology with Chaplygin gas in Palatini formalism

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Wheeler–DeWitt equation and Lie symmetries in Bianchi scalar-field cosmology

functional form and to find analytical solutions for the field equations and for the related Wheeler-DeWitt (WDW) equation. We show that, in order to find out integrable

A Simple Model for Explaining Galaxy Rotation Curves

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Dark matter influence on black objects thermodynamics

models, conformal transformations in the Lagrangians are extremely useful. In this context, we explore two conformal transformations of the forms

A note on Evgeny M. Lifshitz historical contribution

d\tau=N(a) dt

Do sewn up singularities falsify the Palatini cosmology

and

Sewn singularity cosmology

d\tau=N(\phi) dt

Polytropic stars in Palatini gravity

. For the former conformal transformation, we found two cases of

Extended Theories of Gravity in cosmological and astrophysical applications

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