Late-time acceleration in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e175" altimg="si19.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity: Analysis and constraints in an anisotropic background

This paper is devoted to investigate the anisotropic locally rotationally symmetric (LRS) Bianchi type-I space-time in context of recently proposed $f(Q)$ gravity which $Q$ non-metricity scalar. For this purpose, we consider a linear form $f\left( Q\right) $ model, specifically, =\alpha Q+\beta $, where $\alpha and $% \beta are free parameters analyzed exact solutions LRS space-time. The modified Friedmann equations solved by presuming an expansion scalar $\theta \left( t\right) proportional shear $\sigma leads relation between metric potentials as $A=B^{n}$ $n$ arbitrary constant. Then constrain our model with observational Hubble datasets 57 data points. Moreover, discuss physical behavior cosmological such energy density, pressure, EoS parameter, deceleration parameter. parameter predicts transition from accelerated phases expanding Universe. Finally, indicates that fluid behaves like standard $\Lambda $CDM model.