New integrable models and analytical solutions in f(R) cosmology with an ideal gas
نویسندگان
چکیده
منابع مشابه
A New Integrable Equation with Peakon Solutions
We consider a new partial differential equation, of a similar form to the Camassa-Holm shallow water wave equation, which was recently obtained by Degasperis and Procesi using the method of asymptotic integrability. We prove the exact integrability of the new equation by constructing its Lax pair, and we explain its connection with a negative flow in the Kaup-Kupershmidt hierarchy via a recipro...
متن کاملCosmic Walls and Filaments Formation in Modied Chaplygin Gas Cosmology
We want to study the perturbation growth of an initial seed of an ellipsoidal shape in Top-Hat collapse model of the structure formation in the Modied Chaplygin gas cosmology. Considering reasonable values of the constants and the parameters of the model under study, we can show that a very small deviation from spherical symmetry (ellipsoidal geometry) in the initial seed leads to a nal highly ...
متن کاملLandslide Susceptibility Mapping Using Fusion Models of Frequency Ratio (FR) and Analytical Hierarchy Process (AHP)
Landslide susceptibility zonation mapping is necessary in urban and rural development planning. So far different methods are presented for Landslide susceptibility zonation. In this study, using statistical method of Frequency ratio and Analytical Hierarchy Process (AHP) based on paired comparison and intervention based such as slope, aspect, altitude, geology, land use, Normalized vegetatio...
متن کاملNew Results in Chaplygin Gas Cosmology
We provide a rigorous derivation of the evolution equation in the context of Chaplygin gas cosmology, in which the relativistic formulation of Chaplygin matter is a crucial ingredient. This is in contrast to the existing literature where the non-relativistic form of the Chaplygin equation of state is naively used in the covariant Einsstein equation. Our results show that the Chaplygin model des...
متن کاملWeinhold’length in an Isentropic Ideal and Quasi-ideal Gas
In this paper we study thermodynamic length of an isentropic Ideal and quasi-Ideal Gas using Weinhold metric in a two-dimensional state space. We give explicit relation between length at constant entropy and work.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2018
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.97.024026