Traversable wormholes, tunnel like structures introduced by Morris \& Thorne \cite{morris1}, have a significant role in connection of two different space-times or parts the same space-time. The characteristics these wormholes depend upon redshift and shape functions which are defined terms radial coordinate. In literature, several studied $f(R)$ gravity with respect to \cite{lobo, saiedi, baha}. this paper, (i) $b(r)=\dfrac{{r_0} \log (r+1)}{\log ({r_0}+1)}$ (ii)...

In this work, wormholes, tunnel like structures introduced by Morris and Thorne (Am J Phys 56:395, 1988), are explored within the framework of f(R) gravity. Using shape function $$b(r)=r_0\big (\frac{r}{r_0}\big )^\gamma $$ , where $$0<\gamma <1$$ equation state $$p_r=\omega \rho is derived field equations solved. Then null, weak, strong dominated energy conditions analyzed spherical regions satisfying these determined. Furthermore, we calculated range radius throat wormhole, satisfied.

Abstract In this work, the study of traversable wormholes in f ( R ) gravity with function $$f(R)=R+\alpha R^n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>R</mml:mi><mml:mo>+</mml:mo><mml:mi>α</mml:mi><mml:msup><mml:mi>R</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math> , where $$\alpha $$...

We have proposed a novel shape function on which the metric that models traversable wormholes is dependent. Using this function, energy conditions, equation-of-state and anisotropy parameter are analyzed in [Formula: see text] gravity, gravity general relativity. Furthermore, consequences obtained with respect to these theories compared. In addition, existence of wormhole geometries investigated.

In this paper, we considered the study of Friedmann-Robertson-Walker (FRW) model in framework $f(Q,T)$ gravity, an extension symmetric teleparallel recently defined by Y. Xu et al. \cite{Xu}. The non-linear $f(Q,T)=-\alpha Q-\beta T^2$, where $\alpha>0$ and $\beta>0$ are constants, is taken into account. equation state perfect fluid assumed 31 points Hubble data used to constrain value parameter. To explore evolution universe, numerical solutions cosmological implications such as parameter,...

The new class of higher dimensional cosmological model the early universe filled with perfect fluid source in framework f(R,T) theory gravity (Harko et al. Phys. Rev. D 84, 024020, 2011) is considered. A an appropriate choice function f(T) has been constructed. physical behavior studied. well known astrophysical phenomena, namely Hubble parameter H(z), luminosity distance (d L ) and modulus μ(z) redshift are discussed.

We compare the gravitational collapse of homogeneous perfect fluid with various equations state in framework General Relativity and $R^2$ gravity. make our calculations using dimensionless time characteristic timescale $t_{g}\sim (G\rho)^{-1/2}$ where $\rho$ is a density collapsing matter. The cases matter, radiation stiff matter are considered. also account possible existence vacuum energy its influence on collapse. In case gravity we have additional degree freedom for initial conditions...

In the present paper, modeling of traversable wormholes, proposed by Morris and Thorne [Am. J. Phys. 56, 395 (1988)], is performed within [Formula: see text] gravity with particular viable case text], where text]. The energy conditions are analyzed using shape function defined Godani Samanta [Int. Mod. D 28, 1950039 (2018)] geometric nature wormholes analyzed.

Morris and Thorne [M. S. K. Thorne, Am. J. Phys. 56, 395 (1988)] proposed geometrical objects called traversable wormholes that act as bridges in connecting two spacetimes or different points of the same spacetime. The properties these depend upon choice shape function. In literature, are studied modified gravities for types functions. this paper, having function [Formula: see text] explored gravity with text], where real constants. For values constants analysis is done various cases. each...

Modified gravity theories have received increased attention lately to understand the late time acceleration of universe. This viewpoint essentially modifies geometric components Among numerous extension Einstein's theory gravity, which include higher order curvature invariant, and specifically class $f(R)$ theories, several acknowledgments. In our current work we try universe by modifying geometry space using dynamical system analysis. The use this technique allows behavior under...

Abstract In this work, static traversable wormholes are investigated in $$R^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> gravity with logarithmic trace term T , where R denotes the Ricci scalar, and $$T=-\rho +p_r+2p_t&gt;0$$...

In this paper, the strong gravitational lensing is explored for traversable wormholes in [Formula: see text] theory of gravity with minimally-coupled massless scalar field. First, effective wormhole solutions are obtained using model text], where constant, curvature and trace stress-energy tensor. Furthermore, three different shape functions namely, (Ref. 36), (Refs. 35 37) 34, 35, 39, 73) considered studied their qualitative behavior construction geometry respectively. Subsequently, effect...

Morris and Thorne 1 proposed traversable wormholes, hypothetical connecting tools, using the concept of Einstein’s general theory relativity. In this paper, modification relativity (in particular [Formula: see text] gravity defined by Harko et al. 2 ) is considered, to study wormhole solutions. The function considered as text], where are controlling parameters. shape redshift functions appearing in metric structure have significant contribution development We both variable constant with a...