[工程科技]DualNatureoftheRicciScalar_CreationofSpinlessandSpin-12ParticlesasWellasaNe.pdf

DUAL NATURE OF THE RICCI SCALAR, CREATION OF SPINLESS AND SPIN - 1/2 PARTICLES AS WELL AS A NEW COSMOLOGICAL SCENARIO I 5 0 0 S.K.Srivastava, 2 t Department of Mathematics, c O North Eastern Hill University, 0 NEHU Campus, 1 1 Shillong - 793022 v 6 ( INDIA ) 4 0 e - mail : srivastava@nehu.ac.in 0 1 5 0 / c q r- In earlier papers [11-17], it is found that the Ricci scalar behaves in a dual g : manner (i) like a matter field and (ii) like a geometrical field. In ref.[17], in- v i X homogeneous cosmological models are derived using dual roles of the Ricci r a scalar. The essential features of these models is capability of these to ex- hibit gravitational effect of compact objects also in an expanding universe. Here, production of spinless and spin-1/2 particles are demonstrated in these models. PACS Nos. 04.62.+v,98.80.Cq,98.80Bp. Key Words: Particle Physics and cosmology,Quantum field theory in curved space-time, creation of particles, evolution of the universe, mathematical as- pects of cosmology. 1 1.Introduction Consideration of higher-derivative gravity is not new and it is a strong candidate in the context of string theories and Einstein-Gauss-Bonnet grav- ity. In the context of the early universe, use of higher-derivative gravity started from more than three decades ago. In 1977, Stelle considered it and po