Particle production in higher derivative theory

G P SINGH, A BEESHAM* and R V DESHPANDEf

Department of Mathematics, Visvesvaraya Regional College of Engineering, Nagpur 440 011, India
*Department of Applied Mathematics, University of Zululand, Private Bag X1001, Kwa-Dlangezwa 3886, South Africa
f Department of Mathematics, Priyadarshini College of Engineering and Architecture, Nagpur
E-mail: gps@vrce.ernet.in ; abeesham@pan.uzulu.ac.za

Abstract.

The effect of particle production on the evolution of the spatially flat Friedmann-Lemaitre-Robertson-Walker cosmological model during the early stages of the universe is analysed in the framework of higher derivative theory. The universe has been considered as an open thermodynamic system where particle production gives rise to a supplementary negative creation pressure in addition to the thermodynamic pressure. The dynamical behaviour of both exponential as well as power law solutions have been discussed.

Keywords.:Cosmological models; particle production; higher derivative theory of gravitation.

Pacs No.: 98.80

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