Quasi Static Evolution of Compact Objects in Modified Gravity

Abstract

In this paper, the quasi static-approximation on the hydrodynamics of compact objects is proposed in $f(R,T)$ gravity, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor, by exploring the axial and reflection symmetric space time stuffed with anisotropic and dissipative matter contents. The set of invariant-velocities is defined to comprehend the concept of quasi static-approximation. As a consequence, the evolution of compact objects is shown by analyzing the corresponding modified field, dynamical and scalar equations in this approximation to evoke all the feasible outcomes. Furthermore, the significance of kinematical quantities, modified heat-fluxes and scalar variables are found through the proposed approximation.

26 pages, version accepted for publication in General Relativity and Gravitation

References in corpus (19)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Beyond the Cosmological Standard Model
• Inflationary cosmology in modified gravity theories
• Dark Energy and Gravity
• Dark Energy and Dark Gravity
• Modelling wormholes in $f(R,T)$ gravity
• Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy
• A high redshift detection of the integrated Sachs-Wolfe effect
• Energy Conditions in Modified $f(G)$ Gravity
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
• On the Role of $f(G,T)$ Terms in Structure Scalars
• Stability Analysis of Stellar Radiating Filaments
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Frame dragging and super-energy

Cited by in corpus (3)

• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• Dynamical analysis of the covarying coupling constants in scalar-tensor gravity
• Inflationary Cosmology in a non-minimal $f(R,T)$ gravity theory using a $RT$ mixing term