Abstract
The study of energy conditions has many significant applications in general relativistic and cosmological contexts. This paper explores the energy conditions in the framework of the most general scalar-tensor theory with field equations involving second-order derivatives. For this purpose, we use flat FRW universe model with perfect fluid matter contents. By taking power law ansatz for scalar field, we discuss the strong, weak, null, and dominant energy conditions in terms of deceleration, jerk, and snap parameters. Some particular cases of this theory likek-essence model, modified gravity theories and so forth. are analyzed with the help of the derived energy conditions, and the possible constraints on the free parameters of the presented models are determined.
Highlights
The study of energy conditions has many significant applications in general relativistic and cosmological contexts
The most general scalar-tensor theory being a combination of various dark energy (DE) proposals provides a vast gravitational framework for the discussion of accelerated expansion of the universe
The modified theories involve some extra degrees of freedom that are described by the models with some unknown parameters
Summary
“The increasing rate of cosmic expansion in current phase” is one of the primal facts in modern cosmology that is supported by some sort of energy. Horndeski [13] was the pioneer to discuss the concept of most general Lagrangian with single scalar field This action is discussed by introducing a covariant Galilean field with second-order equations of motion [14]. Visser [20] discussed various cosmological terms like distance modulus, look back time, deceleration and statefinder parameters in terms of red shift using energy condition constraints. These conditions are originally formulated in the context of GR and extended to modified theories of gravity. Modified gravity theories contain some extra functions like higher order derivatives of curvature term or some function of Einstein tensor or scalar field etc.
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