Christine Gruber

Cosmographyand constraints onthe equation of state ofthe Universe invarious parametrizations

We use cosmography to present constraints on the kinematics of the Universe, without postulating any underlying theoretical model. To this end, we use a Monte Carlo Markov Chain analysis to perform comparisons to the supernova Ia Union 2 compilation, combined with the Hubble Space Telescope measurements of the Hubble constant, and the Hubble parameter datasets. We introduce a sixth order cosmographic parameter and show that it does not enlarge considerably the posterior distribution when comparing to the fifth order results. We also propose a way to construct viable parameter variables to be used as alternatives of the redshift

Black Hole Remnants in the Early Universe

z

CONSTRAINTS FROM COSMOGRAPHY IN VARIOUS PARAMETRIZATIONS

. These can overcome both the problems of divergence and lack of accuracy associated with the use of

The zeroth law in quasi-homogeneous thermodynamics and black holes

z

Thermodynamic optimization of a Penrose process: An engineers’ approach to black hole thermodynamics

. Moreover, we show that it is possible to improve the numerical fits by re-parameterizing the cosmological distances. In addition, we constrain the equation of state of the Universe as a whole by the use of cosmography. Thus, we derive expressions which can be directly used to fit the equation of state and the pressure derivatives up to fourth order. To this end, it is necessary to depart from a pure cosmographic analysis and to assume the Friedmann equations as valid. All our results are consistent with the

Geometrothermodynamic model for the evolution of the Universe

\Lambda

Pre inflation matter era and CMB anomaly

CDM model, although alternative fluid models, with nearly constant pressure and no cosmological constant, match the results accurately as well.

Cosmographic analysis of the equation of state of the universe through Pade approximations

We consider the production of primordial micro black holes (MBH) remnants in the early Universe. These objects induce the Universe to be in a matter-dominated era before the onset of inflation. Effects of such an epoch on the CMB power spectrum are discussed and computed both analytically and numerically. By comparison with the latest observational data from the WMAP collaboration, we find that our model appears to explain the quadrupole anomaly of the CMB power spectrum.

Geometric approaches to the thermodynamics of black holes

We use cosmography to present constraints on the kinematics of the Universe without postulating any underlying theoretical model a priori. To this end, we use a Markov Chain Monte Carlo analysis to perform comparisons to the supernova Ia union 2 compilation, combined with the Hubble Space Telescope measurements of the Hubble constant, and the Hubble parameter datasets. The cosmographic approach to our analysis is revisited and extended for new notions of redshift presented as alternatives to the redshift z. Furthermore, we introduce a new set of fitting parameters describing the kinematical evolution of the Universe in terms of the equation of state of the Universe and derivatives of the total pressure. Our results are consistent with the \Lambda CDM model, although alternative models, with nearly constant pressure and no cosmological constant, match the results accurately as well.

Non-extensive statistical mechanics of a self-gravitating gas.

Abstract Motivated by black holes thermodynamics, we consider the zeroth law of thermodynamics for systems whose entropy is a quasi-homogeneous function of the extensive variables. We show that the generalized Gibbs–Duhem identity and the Maxwell construction for phase coexistence based on the standard zeroth law are incompatible in this case. We argue that the generalized Gibbs–Duhem identity suggests a revision of the zeroth law which in turns permits to reconsider Maxwells construction in analogy with the standard case. The physical feasibility of our proposal is considered in the particular case of black holes.