Gravitational Baryogenesis in Non-Minimal Coupled f(R,T) Gravity

Abstract

In this paper gravitational baryogenesis is studied by considering the simplest non-minimal matter geometry coupled f (R, T ) gravity theory where f (R, T ) = R + ζRT . Here, R represents Ricci scalar and T denote trace of the stress-energy-momentum tensor. We studied the viability of our model for different baryogenesis interactions proportional to ∂µR, ∂µT and ∂µf (R, T ). Further, we obtained baryon to entropy ratio in each case and put constraints on parameters spaces of our model. PACS numbers: 04.50.Kd; 98.80.-k; 98.80.Bp, 47.10.Fg II. OVERVIEW OF f (R, T ) GRAVITYThe late time cosmic acceleration of the universe has been explored and explained by many alternate models of classical or quantum gravity [3]. One of the most interesting theories of modified gravity is the f (R, T ) gravity. This theory is built on the coupling between matter and geometry. f (R, T ) theory can distinguish between diverse gravitational models due to its fascinating features and consistency with observations. f (R, T ) gravity models can explain the transition from matter dominated phase to the late dark energy dominated phase [25]. The gravitational Lagrangian in f (R, T ) gravity is a generic function of the Ricci scalar curvature R and the trace of stress-energy- *

Baryogenesis in $$f(Q,{\mathcal { T}})$$ gravity

“…where we have usedQ = 12HḢ and the decoupling time t D is written in terms of critical temperature T D by equating (16) with (22) as…”

“…Theories such as GUT baryogenesis, Thermal Baryogenesis, Affleck-Dine Baryogenesis, Electroweak Baryogenesis, Black hole evaporation Baryogenesis and Spontaneous Baryogenesis propose interactions which goes beyond the standard model to explain this profound dominance of matter in the universe [3][4][5][6][7][8][9][10][11]. These mechanisms were further developed in [12][13][14][15] Gravitational Baryogenesis is one such theory proposed in [16] and further developed and extended to many modified gravity theories [17][18][19][20][21][22]. This particular theory employs one of the Sakharov criterion [23] which assures a baryon-antibaryon asymmetry from the existence of a CP-violating interaction, a e-mail: snehasish.bhattacharjee.666@gmail.com b e-mail: pksahoo@hyderabad.bits-pilani.ac.in (corresponding author) which reads…”

Favored Inflationary Models by Scalar Field Condensate Baryogenesis

“…At present there exist many baryogenesis models which successfully generate this number at quite different epochs: in the wide range between the end of inflation and before BBN. Just to mention the most popular ones: GUT baryogenesis [13,14], SUSSY baryogenesis, baryogenesis through leptogenesis [15], Afleck and Dine baryogenesis [16], Scalar Field Condensate baryogenesis (SFC) [2,17], warm baryogenesis [18], Gravitational baryogenesis in Einstein's gravity [19] and in modified gravity theories [20][21][22], etc.…”

Late-time viscous cosmology in f(R, T) gravity

“…In this work we shall work with f (R, T) gravity theory in which the Ricci scalar R is replaced with a suitable functional form of R and trace of energy momentum tensor T [43] and therefore is a straightforward conjecture to f (R) gravity (see [44,45]). f (R, T) gravity have proved to be successful in numerous cosmological sectors such as dark matter [46] dark energy [47], massive pulsars [48,49], super-Chandrasekhar white dwarfs [50], wormholes [51][52][53][54][55][56][57][58][59][60][61], gravitational waves [62][63][64], bouncing cosmology [65,66], baryogenesis [67,68], Big-Bang nucleosynthesis [69] and in varying speed of light scenarios [70]. The article is methodized as follows: In Section II we provide a summary of f (R, T) gravity and solve the field equations assuming a bulk viscous fluid.…”