Alessandro Bravetti

Updated constraints on f(R) gravity from cosmography

We address the issue of constraining the class of

Geometrothermodynamics of higher dimensional black holes

f(\mathcal{R})

Cosmographic reconstruction of

gravity able to reproduce the observed cosmological acceleration, by using the so-called cosmography of the Universe. We consider a model independent procedure to build up a

f(\mathcal{T})

f(z)

cosmology

series in terms of the measurable cosmographic coefficients; we therefore derive cosmological late time bounds on

Contact symmetries and Hamiltonian thermodynamics

f(z)

Contact Hamiltonian mechanics

and its derivatives up to the fourth order, by fitting the luminosity distance directly in terms of such coefficients. We perform a Monte Carlo analysis, by using three different statistical sets of cosmographic coefficients, in which the only assumptions are the validity of the cosmological principle and that the class of

Geometrothermodynamics of Myers-Perry Black Holes

f(\mathcal{R})

Para-Sasakian geometry in thermodynamic fluctuation theory

gravity reduces to

Liouville’s theorem and the canonical measure for nonconservative systems from contact geometry

\ensuremath{\Lambda}\mathrm{CDM}