Properties of white dwarfs in Einstein-$\mathrm{\Lambda }$ gravity

In this paper, we explore the properties of white dwarfs with the modified TOV equation in Einstein-$\mathrm{\Lambda }$ gravity, the equilibrium configurations predict a maximum mass limit for white dwarfs same as the Chandrasekhar limit when we consider $\mathrm{\Lambda }$ to be very small($\mathrm{\Lambda }<{10}^{-16}$ m${}^{-2}$), by increasing $\mathrm{\Lambda }$, the maximum mass and radius of white dwarf are reduced. We study effects of the cosmological constant on the physical properties of white dwarf such as $M-{\rho }_c$ relation, $M-R$ relation, Schwarzschild radius, average density, compactness, gravitational redshift and dynamical stability. The gravitational redshift is a decreasing function of cosmological constant, because the gravitational redshift of white dwarf should be positive, we also find an upper limit for $\mathrm{\Lambda }$, namely, $\mathrm{\Lambda }<3\times {10}^{-14}$ m${}^{-2}$. Our investigation of dynamical stability shown that the white dwarfs follow the dynamical stability in Einstein-$\mathrm{\Lambda }$ gravity.