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Hong-Yu Li

Publications and source records attributed to Hong-Yu Li.

4 recordsLinked to original sources

The Rotation Curve and Spiral Structure of Milky Way from the Hydrogen 21-cm Line Detection with Campus Radio Telescope

The rotation curve is significant to research on dark matter and the structure of the Milky Way. But it is a great challenge to measure rotation curve accurately, and different ways obtain distinct results. In this work, we use a DIY small radio telescope to carry out hydrogen 21-cm line observations on campus, and calculate the rotation curve of inner disk by tangent method based on the model of Przemek et al. (the rotation speed of the Sun $v(R_0)=233.6\pm2.8$ km/s, and distance to the Galactic center $R_0=8.122\pm0.031$ kpc). Furthermore, we obtain the distribution of spiral arms in the Milky Way with our data by adopting different rotation curve models. We also compare our rotation curve result with previous works, analyse the possible measurement error in the tangent method, and discuss the consistence of our result with others.

astro-ph.GA

Cosmological Constant, Fine Structure Constant and Beyond

In the present work, we consider the cosmological constant model $Λ\proptoα^{-6}$, which is well motivated from three independent approaches. As is well known, the hint of varying fine structure constant $α$ was found in 1998. If $Λ\proptoα^{-6}$ is right, it means that the cosmological constant $Λ$ should also be varying. Here, we try to develop a suitable framework to model this varying cosmological constant $Λ\proptoα^{-6}$, in which we view it from an interacting vacuum energy perspective. Then, we consider the observational constraints on these models by using the 293 $Δα/α$ data from the absorption systems in the spectra of distant quasars. We find that the model parameters can be tightly constrained to the very narrow ranges of ${\cal O}(10^{-5})$ typically. On the other hand, we can also view the varying cosmological constant model $Λ\proptoα^{-6}$ from another perspective, namely it can be equivalent to a model containing "dark energy" and "warm dark matter", but there is no interaction between them. We find that this is also fully consistent with the observational constraints on warm dark matter.

gr-qc

Exact Cosmological Solutions of $f(R)$ Theories via Hojman Symmetry

Nowadays, $f(R)$ theory has been one of the leading modified gravity theories to explain the current accelerated expansion of the universe, without invoking dark energy. It is of interest to find the exact cosmological solutions of $f(R)$ theories. Besides other methods, symmetry has been proved as a powerful tool to find exact solutions. On the other hand, symmetry might hint the deep physical structure of a theory, and hence considering symmetry is also well motivated. As is well known, Noether symmetry has been extensively used in physics. Recently, the so-called Hojman symmetry was also considered in the literature. Hojman symmetry directly deals with the equations of motion, rather than Lagrangian or Hamiltonian, unlike Noether symmetry. In this work, we consider Hojman symmetry in $f(R)$ theories in both the metric and Palatini formalisms, and find the corresponding exact cosmological solutions of $f(R)$ theories via Hojman symmetry. There exist some new solutions significantly different from the ones obtained by using Noether symmetry in $f(R)$ theories. To our knowledge, they also have not been found previously in the literature. This work confirms that Hojman symmetry can bring new features to cosmology and gravity theories.

gr-qc

Hojman Symmetry in $f(T)$ Theory

Today, $f(T)$ theory has been one of the popular modified gravity theories to explain the accelerated expansion of the universe without invoking dark energy. In this work, we consider the so-called Hojman symmetry in $f(T)$ theory. Unlike Noether conservation theorem, the symmetry vectors and the corresponding conserved quantities in Hojman conservation theorem can be obtained by using directly the equations of motion, rather than Lagrangian or Hamiltonian. We find that Hojman symmetry can exist in $f(T)$ theory, and the corresponding exact cosmological solutions are obtained. We find that the functional form of $f(T)$ is restricted to be the power-law or hypergeometric type, while the universe experiences a power-law or hyperbolic expansion. These results are different from the ones obtained by using Noether symmetry in $f(T)$ theory. Therefore, it is reasonable to find exact cosmological solutions via Hojman symmetry.

gr-qc