15,072 research outputs found
Exact Cosmological Solutions of Theories via Hojman Symmetry
Nowadays, 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
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 theories in both the metric and Palatini
formalisms, and find the corresponding exact cosmological solutions of
theories via Hojman symmetry. There exist some new solutions significantly
different from the ones obtained by using Noether symmetry in 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.Comment: 16 pages, revtex4; v2: discussions added, Nucl. Phys. B in press; v3:
published version. arXiv admin note: text overlap with arXiv:1505.0754
Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
Motivated by recent developments of black hole thermodynamics in de Rham,
Gabadadze and Tolley(dRGT) massive gravity, we study the critical behaviors of
four-dimensional topological Anti-de Sitter(AdS) black holes in the presence of
Born-Infeld nonlinear electrodynamics by treating the cosmological constant as
pressure and the corresponding conjugate quantity is interpreted as
thermodynamic volume. It shows that besides the Van der Waals-like SBH/LBH
phase transitions appears, the so-called reentrant phase transitions (RPTs) are
also observed when the coupling coefficients of massive potential and
Born-Infeld parameter satisfy some certain conditions.Comment: arXiv admin note: text overlap with arXiv:1612.08056; text overlap
with arXiv:1402.2837, arXiv:1306.5756 by other autho
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