In the framework of the braneworld Randall–Sundrum type II model, we investigate an inflationary scalar model in the high-energy regime. In this regime, the slow-roll parameters and the perturbation spectrum of the model are derived. The corresponding results are dealt with according to the known observational data. Then the solutions to the equations of motion on the brane are given.
Motivated by string theory results, we study Liouville black hole solutions and their thermodynamics on noncommutative space. In particular, we present explicit solutions of black hole equations of motion, then we find their classical properties such as the ADMmass, the horizon geometry and the scalar Ricci curvature. Thermodynamic properties of such noncommutative black hole solutions including the Hawking temperature and entropy function are also discussed for three different regions of the moduli space of the theory.
In the framework of the integrable model of the sine–Gordon equation, we describe a recent method to recover the Hawking temperature from the sine–Gordon black hole (sGBH). We present the SGBH metric, its event horizon and give the Hawking temperature of sine–Gordon black hole. We use the complex path analysis method to examine the Hawking radiation and give the possibility of estimating the evaporation time of the SGBH.
We study the effects of noncommutative spaces and fuzzy space on the mertic, horizon, entropy and Hawking temperature of a BTZ black hole. The results show deviations from the usual physical properties. The deviations depend on the parameter of noncommutativity.
We obtain in this work the super-Liouville theory induced from the action of the superstring theory in the presence of gauge worldsheet fields; such construction is based on a special ansatz that gives a special value of -fields . We discuss the integrability of super-Liouville theory through the Lax formulation, and we establish also the superfields formulation of super-Liouville equations.
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