A Note on Friedman Universe with a Higher Order Gravity
Keywords:Friedmann Universe, gravitons, Higher order theory, Singularity
New images of black-holes in recent times created a strong validity
of Friedman universe. Since Friedman universe possess singularity, synonymously
black holes, its quantum aspect becomes more important for
study. We have seen Friedman universe with reference to higher order
gravity theory, a natural generalization of Einstein theory of gravity. Particle
creation in vacuum space-time in presence of strong gravitation field
has explained and thus emphasised upon gravitons creation as well as
non-conformal invariance of higher order theory in this context.
Frenkel, V. and Grib, A.: 1994, Einstein, Friedmann, Lemaitre: Discovery of the big bang.
Friedman, A.: 1922, ¨Uber die kr¨ummung des raumes, Zeitschrift f¨ur Physik A Hadrons and Nuclei 10(1), 377–386.
Gorobey, N., Lukyanenko, A. and Shavrin, A.: 2018, A ground state and quantization of the energy of matter in the Friedmann universe, Journal of Physics: Conference Series, Vol. 1135, IOP Publishing, p. 012005.
Grib, A., Mamaev, S. and Mostepanenko, V.: 1980, Quantum effects in strong external fields [in russian].
Grib, A., Mamayev, S. and Mostepanenko, V.: 1980, Particle creation and vacuum polarisation in an isotropic universe, Journal of Physics A: Mathematical and General 13(6), 2057.
Hu, B. and Parker, L.: 1977, Effect of gravitation creation in isotropically expanding universes, Physics Letters A 63(3), 217–220.
Mishra, A. M.: 2016, Brans-Dicke theory in g¨odel type space-time, Journal of Science and Arts 16(3), 189.
Mishra, A. M.: n.d., On the solution of an f (r) theory of gravity motivated by gravitational waves in spherically symmetric spacetime.
MISHRA, A. M. and PANDEY, S. N.: 2015, G¨odel type solution of an f (r) theory of gravitation, Walailak Journal of Science and Technology (WJST) 13(5), 329–336.
Pandey, S.: 2010, An f (r) theory of gravity motivated by gravitational waves, Nuovo Cimento. B 125(7), 775–787.
Pandey, S.: 2014, On an f (r) theory of gravity based on non-conformal invariance of gravitational waves, Gravitation and Cosmology 20(1), 35–41.
Pandey, S. N.: 1982, The Origin and Evolution of Galaxies, World Scientific Publishing.
Shibata, M. and Sasaki, M.: 1999, Blackhole formation in the Friedmann universe: Formulation and computation in numerical relativity, Physical Review D 60(8), 084002.