In this work, we explore wormhole solutions in f(R, T) theory of gravity, where R is the scalar curvature and T trace stress-energy tensor matter. To investigate this, consider a static spherically symmetric geometry with matter contents as anisotropic, isotropic, barotropic fluids three separate cases. By taking into account Starobinsky f(R) model, analyze behavior energy conditions for these different kinds fluids. It shown that can be constructed without exotic few regions space-time. We...

A non-equilibrium picture of thermodynamics is discussed at the apparent horizon FRW universe in $f(R,T)$ gravity, where $R$ Ricci scalar and $T$ trace energy-momentum tensor. We take two forms tensor dark components demonstrate that equilibrium description not achievable both cases. check validity first second law this scenario. It shown Friedmann equations can be expressed form $T_hdS'_h+T_hd_{\jmath}S'=-dE'+W'dV$, $d_{\jmath}S'$ entropy production term. Finally, we conclude holds phantom...

The energy conditions are derived in the context of \(f(R,T)\) gravity, where \(R\) is Ricci scalar and \(T\) trace energy-momentum tensor, which can reduce to well-known \(f(R)\) gravity general relativity. We present inequalities set by terms Hubble, deceleration, jerk snap parameters. In this study, we concentrate on two particular models namely, \(f(R)+\)λ T \(R+2f(T)\). exact power-law solutions obtained for these cases homogeneous isotropic cosmology. Finally, find certain constraints...

A dynamical analysis of a spherically symmetric collapsing star surrounded by locally anisotropic environment under an expansion-free condition is presented in $$f(R,T)$$ gravity, where $$R$$ corresponds to the Ricci scalar and $$T$$ stands for trace energy momentum tensor. The modified field equations evolution are reconstructed framework gravity. In order acquire collapse equation we implement perturbation on all matter variables dark source components comprising viable model. instability...

We discuss the dynamical analysis in $f(R,T)$ gravity (where $R$ is Ricci scalar and $T$ trace of energy momentum tensor) for gravitating sources carrying axial symmetry. The self system taken to be anisotropic line element describes axially symmetric geometry avoiding rotation about symmetry axis meridional motions (zero vorticity case). modified field equations theory are formulated, together with equations. Linearly perturbed lead evolution equation adiabatic index $\Gamma$ that defines...

Abstract The present study explores the $$f(\mathcal {R},\mathcal {T})$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> modified gravity on basis of observational data for three different compact stars with matter profile as anisotropic fluid without electric charge. In this respect, we adopt well-known Karmarker condition and assume a...

The implications of the shear-free condition on instability range an anisotropic fluid in f(R, T) are studied this manuscript. A viable model is chosen to arrive at stability criterion, where R Ricci scalar and T trace energy-momentum tensor. evolution a spherical star explored by employing perturbation scheme modified field equations contracted Bianchi identities T). effect imposed collapse equation adiabatic index $$\Gamma $$ Newtonian post-Newtonian regimes.

In this paper, we study the behavior of perfect fluid and massless scalar field for homogeneous anisotropic Bianchi type I universe model in f ( R , T ) gravity, where is Ricci trace energy-momentum tensor. We assume variation law mean Hubble parameter to obtain exact solutions modified equations. The physical kinematical quantities are discussed both models future evolution universe. check validity null energy condition conclude that our solution can behave like phantom model. Finally, find...

In this paper, we discuss spherically symmetric wormhole solutions in $f(R,T)$ modified theory of gravity by introducing well-known non-commutative geometry terms Gaussian and Lorentizian distributions string theory. For some analytic discussion, consider an interesting model defined $f(R,T)=f_{1}(R)+\lambda T$. By taking two different choices for the function $f_{1}(R)$, that is, $f_{1}(R)=R$ $f_{1}(R)=R+\alpha R^{2}+\gamma R^{n}$, possible existence solutions. presence distributions, get...

In this paper, we study different Solar System tests in a modified Teleparallel gravity theory based on an arbitrary function f(T,B) which depends the scalar torsion T and boundary term B. To do this, first find new perturbed spherically symmetric solutions around Schwarzschild for power-law forms of Lagrangian. Then, each model calculated photon sphere, perihelion shift, deflection light, Cassini experiment, Shapiro delay gravitational redshift. Finally, confront these computations with...

Abstract In this work, we consider a static wormhole in Bopp-Podolsky electrodynamics and convert it into its rotating counterpart by reducing Morris-Thorne form. We further study the null geodesics effective potential along with shadows for inner outer unstable orbits specific choices of parameters. It is found that some cases smooth shadow curves are formed, few formed cuspy. All parameters have significant impact on except parameter b when either or Q kept small. also analyze...