1,395 research outputs found
Logarithmic corrected gravity in the light of Planck 2015
In this letter, we consider the theory of gravity with the lagrangian
density . We obtain the
constant curvature solutions and find the scalar potential of the gravitational
field. We also obtain the mass squared of a scalaron in the Einsteins
frame. We find cosmological parameters corresponding to the recent Plank 2015
results. Finally, we analyze the critical points and stability of the new
modified theory of gravity and find that logarithmic correction is necessary to
have successful model.Comment: arXiv admin note: text overlap with arXiv:1502.00659 by other author
Quantum gravity effects on Ho\v{r}ava-Lifshitz black hole
In this paper, we would like to obtain quantum gravity effects by using
Ho\v{r}ava-Lifshitz black hole. We consider logarithmic corrected
thermodynamics quantities and investigate the effects of logarithmic correction
term. Logarithmic correction comes from thermal fluctuation and may be
interpreted as quantum loop corrections. As black hole is a gravitational
system, hence we can investigate quantum gravity effect. We find such effects
on the black hole stability and obtain domain of correction coefficient.Comment: 22 pages, Accepted for publication in NP
Some Epistemic Extensions of G\"odel Fuzzy Logic
In this paper, we introduce some epistemic extensions of G\"odel fuzzy logic
whose Kripke-based semantics have fuzzy values for both propositions and
accessibility relations such that soundness and completeness hold. We adopt
belief as our epistemic operator, then survey some fuzzy implications to
justify our semantics for belief is appropriate. We give a fuzzy version of
traditional muddy children problem and apply it to show that axioms of positive
and negative introspections and Truth are not necessarily valid in our basic
epistemic fuzzy models. In the sequel, we propose a derivation system as
a fuzzy version of classical epistemic logic . Next, we establish some other
epistemic-fuzzy derivation systems and which are
extensions of , and prove that all of these derivation systems are sound
and complete with respect to appropriate classes of Kripke-based models
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