A complete theory of gravity impels us to go beyond Einstein's General Relativity. One promising approach lies in a new class teleparallel named $f(Q)$, where the nonmetricity $Q$ is responsible for gravitational interaction. The important roles any these alternative theories should obey are energy condition constraints. Such constraints establish compatibility given with causal and geodesic structure space-time. In this work, we present test conditions $f(Q)$ models. allowed fix our free...

Abstract The current interests in the universe motivate us to go beyond Einstein's General theory of relativity. One interesting proposals comes from a new class teleparallel gravity named symmetric gravity, i.e., where non‐metricity term Q is accountable for fundamental interaction. These alternative modified theories gravity's vital role are deal with recent and present realistic cosmological model. This manuscript's main objective study traversable wormhole geometries gravity. We...

Abstract In our investigation, we pioneer the development of geometrically deformed strange stars within framework teleparallel gravity theory through gravitational decoupling via complete geometric deformation (CGD) technique. The significant finding is precise solution for star (SS) models achieved vanishing complexity factor scenario. Further, introduce concept space-time caused by dark matter (DM) content in DM haloes, leading to perturbations metric potentials $$g_{tt}$$ <mml:math...

The accelerated expansion of the universe is most debatable cosmological scenario in last two decades. Looking for proper explanation this scenario, researchers have presented a lot proposals to discuss it. However, somehow, proposal seems incomplete and needs improve better representation universe. Therefore, thesis aims investigate some problems searching an accurate universe...

In this paper, we investigate the dark energy phenomenon by studying Tsallis holographic within framework of Brans-Dicke (BD) scalar-tensor theory gravity [Phys. Rev. \textbf{124}, 925 (1961)]. context, choose BD scalar field $\phi$ as a logarithmic function average scale factor $a(t)$ and Hubble horizon IR cutoff ($L=H^{-1}$). We reconstruct two cases non-interacting interacting fluid (dark sectors cosmos) scenario. The physical behavior models are discussed with help graphical...

Abstract Despite having the somewhat successful description of accelerated cosmology, early evolution universe always challenges mankind. Our promising approach lies in a new class symmetric teleparallel theory gravity named f ( Q ), where non-metricity scalar is responsible for gravitational interaction, which may resolve some issues. To study universe, we presume an anisotropic locally rotationally (LRS) Bianchi-I spacetime and derive motion equations. We discuss profiles energy density,...

In this letter, we investigate the cosmic expansion scenario of universe in framework f(R,Lm) gravity theory. We consider a non-linear model, specifically, f(R,Lm)=R2+Lmn+β, where n and β are free model parameters. Then derive motion equations for flat FLRW obtain exact solution corresponding field equations. estimate best fit ranges parameters by using updated H(z) datasets consisting 57 points Pantheon 1048 points. Further physical behavior density deceleration parameter. The evolution...

In this manuscript, we present a number of fascinating explicit reconstructions for the $f(Q)$ gravity from background Friedmann-La\^imatre-Robertson-Walker (FLRW) evolution history. We find more general functions non-metricity scalar $Q$ that admit exact $\Lambda$CDM expansion Adding extra degrees freedom to matter sector is only method get scale factor behave in manner generic $Q$. addition, cosmological reconstruction modified constructed terms e-folding. It shown how any FLRW cosmology...

In this paper, we investigate the modified symmetric teleparallel gravity or f(Q) gravity, where Q is nonmetricity, to study evolutionary history of universe by considering functional form f(Q)=αQn, α and n are constants. Here, consider parametrization deceleration parameter as q=q0+q1z/(1+z)2 (with parameters q0(q at z=0), q1, redshift, z), which provides desired property for a sign flip from decelerating an accelerating phase. We obtain solution Hubble examining mentioned parametric q,...

Abstract In modern cosmology, the curiosity of ultimately understanding nature dark energy controlling recent acceleration Universe motivates us to explore its properties by using some novel approaches. this work, we adopt modified f ( Q ) gravity theory, where non-metricity scalar , emerging from Weyl geometry, plays dynamical role. For function functional form $$f(Q)=Q+ 6\gamma \,H_0^2(Q/Q_0)^n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>f</mml:mi>...

Abstract The increase of discrepancy in the standard procedure to choose arbitrary functional form Lagrangian f ( Q ) motivates us solve this issue modified theories gravity. In regard, we investigate Gaussian process, which allows eliminate an model-independent way. particular, use 58 Hubble measurements coming from cosmic chronometers and radial Baryon acoustic oscillations reconstruct H z its derivatives <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">...

We study observational constraints on the modified symmetric teleparallel gravity, non-metricity $f(Q)$ which reproduces background expansion of universe. For this purpose, we use Hubble measurements, Baryonic Acoustic Oscillations (BAO), 1048 Pantheon supernovae type Ia data sample integrate SuperNova Legacy Survey (SNLS), Sloan Digital Sky (SDSS), Space Telescope (HST) survey, Panoramic and Rapid Response System (Pan-STARRS1). confront our cosmological model against samples to set...

The rising concern in the Hubble constant tension (H0 tension) of cosmological models motivates scientific community to search for alternative scenarios that could resolve H0 tension. In this regard, we aim work on a torsion-based modified theory gravity which is an description coherence model. We solve numerically parameter using two exponential Lagrangian functions torsion T and trace energy-momentum tensor dust case. Further, constrain model parameters; do that, use Hubble, SNe Ia, Baryon...

Abstract Symmetric teleparallel gravity offers to reformulate the gravitational formalism without presence of curvature and torsion with help non-metricity tensors. Interestingly, can be formulated equivalently or general relativity for an appropriate setup. In this study, our aim lies in exploring bouncing cosmologies as alternative initial singularity Universe background modified symmetric gravity. To explore this, we adopt reconstruction technique present possible reconstructed Lagrangian...

In this article, we attempt to describe the cosmic late-time acceleration of universe in framework f(R,Lm) gravity, by using an effective equation state, when bulk viscosity is taken into account. We presume a non-linear functional form, specifically, f(R,Lm)=R2+Lmα, where α free model parameter. obtain exact solution our viscous matter dominated model, and then utilize combined H(z) + Pantheon Analysis datasets estimate best fit values parameters model. Then, characterize behavior...

Abstract In this manuscript, we construct generalized Ellis–Bronnikov wormholes in the context of f ( R ) modified theories gravity. We consider that matter driving wormhole satisfies energy conditions so it is effective energy–momentum tensor containing higher-order derivatives curvature terms violate null condition. Thus, gravitational fluid interpreted by to represent geometries and fundamentally different from its counter representation general relativity. particular, explore presuming...

The standard formulation of general relativity fails to describe some recent interests in the universe. It impels us go beyond gravity. f(Q) gravity theory is an interesting modified gravity, where gravitational interaction driven by nonmetricity Q. This study aims examine cosmological models with presence bulk viscosity effect fluid within framework We construct three viscous models, i.e., (i) for first model, we assuming Lagrangian as linear dependence on Q, (ii) second model a polynomial...

Gravitational baryogenesis is one of the mechanisms which help us to explore more about our early universe, especially baryon-anti-baryon asymmetry. As we know, modified theories gravity are very successful in describing present accelerated scenario universe. Therefore, this letter, aim constrain generalized torsion-based theory gravity, namely, $f(T,\mathcal{T})$ with gravitational baryogenesis, where $T$, $\mathcal{T}$ torsion scalar, trace energy-momentum tensor, respectively. For this,...

Abstract We present a novel gravastar model based on the Mazur-Mottola (2004) method with an isotropic matter distribution in gravity. The gravastar, which is hypothesized substitute for black hole, built using mechanism. This approach allows us to define as having three stages. first one inner region negative pressure; next thin shell that made up of ultrarelativistic stiff fluid, and we studied proper length, energy, entropy, surface energy density this region. Additionally, demonstrated...