Friedmann–Lemaître–Robertson–Walker metric

About: Friedmann–Lemaître–Robertson–Walker metric is a research topic. Over the lifetime, 4113 publications have been published within this topic receiving 87752 citations. The topic is also known as: FLRW metric.

Thermodynamic approach to holographic dark energy and the R\'{e}nyi entropy

Abstract: Using the first law of thermodynamics, we propose a relation between the system entropy ($S$) and its IR ($L$) and UV ($\Lambda$) cutoffs. In addition, applying this relation to the apparent horizon of flat FRW universe, whose entropy meets the Renyi entropy, a new holographic dark energy model is addressed. Thereinafter, the evolution of the flat FRW universe, filled by a pressureless source and the obtained dark energy candidate, is studied. In our model, there is no mutual interaction between the cosmos sectors. We find out that the obtained model is theoretically powerful to explain the current accelerated phase of the universe. This result emphasizes that the generalized entropy formalism is suitable for describing systems including the long-range interactions such as gravity.

Separate universes do not constrain primordial black hole formation

Abstract: Carr and Hawking showed that the proper size of a spherical overdense region surrounded by a flat Friedmann Robertson Walker (FRW) universe cannot be arbitrarily large as otherwise the region would close up on itself and become a separate universe. From this result, they derived a condition connecting size and density of the overdense region ensuring that it is part of our universe. Carr used this condition to obtain an upper bound for the density fluctuation amplitude with the property that for smaller amplitudes the formation of a primordial black hole is possible, while larger ones indicate a separate universe. In contrast, we find that the appearance of a maximum is not a consequence of avoiding separate universes but arises naturally from the geometry of the chosen slicing. Using instead of density a volume fluctuation variable reveals that a fluctuation is a separate universe if this variable diverges on superhorizon scales. Hence, Carr's and Hawking's condition does not pose a physical constraint on density fluctuations. The dynamics of primordial black hole formation with an initial curvature fluctuation amplitude larger than the one corresponding to the maximum density fluctuation amplitude was previously not considered in detail and so we compare it to the well-known case where the amplitude is smaller by presenting embedding and conformal diagrams of both types in dust spacetimes.

Inflationary models driven by adiabatic matter creation

Abstract: The flat inflationary dust universe with matter creation proposed by Prigogine and co-workers is generalized and its dynamical properties are re-examined. It is shown that the starting point of these models depends critically on a dimensionless parameter , closely related to the matter creation rate . For bigger or smaller than unity flat universes can emerge, respectively, either like a big-bang FRW singularity or as a Minkowski spacetime at . The case corresponds to a de Sitter-type solution, a fixed point in the phase diagram of the system, supported by the matter creation process. The curvature effects have also been investigated. The inflating de Sitter is a universal attractor for all expanding solutions regardless of the initial conditions as well as of the curvature parameter.

Future singularities and Teleparallelism in Loop Quantum Cosmology

Abstract: We demonstrate how holonomy corrections in loop quantum cosmology (LQC) prevent the Big Rip singularity by introducing a quadratic modification in terms of the energy density $\rho$ in the Friedmann equation in the Friedmann-Lemaitre-Robertson-Walker (FLRW) space-time in a consistent and useful way. In addition, we investigate whether other kind of singularities like Type II,III and IV singularities survive or are avoided in LQC when the universe is filled by a barotropic fluid with the state equation $P=-\rho-f(\rho)$, where $P$ is the pressure and $f(\rho)$ a function of $\rho$. It is shown that the Little Rip cosmology does not happen in LQC. Nevertheless, the occurrence of the Pseudo-Rip cosmology, in which the phantom universe approaches the de Sitter one asymptotically, is established, and the corresponding example is presented. It is interesting that the disintegration of bound structures in the Pseudo-Rip cosmology in LQC always takes more time than that in Einstein cosmology. Our investigation on future singularities is generalized to that in modified teleparallel gravity, where LQC and Brane Cosmology in the Randall-Sundrum scenario are the best examples. It is remarkable that $F(T)$ gravity may lead to all the kinds of future singularities including Little Rip.

The Einstein static universe in loop quantum cosmology

Abstract: Loop quantum cosmology (LQC) strongly modifies the high-energy dynamics of Friedmann–Robertson–Walker models and removes the big-bang singularity. We investigate how LQC corrections affect the stability properties of the Einstein static universe. In general relativity, the Einstein static model with positive cosmological constant Λ is unstable to homogeneous perturbations. Using dynamical system methods, we show that LQC gravitational modifications can lead to an Einstein static model which is neutrally stable for a large enough positive value of Λ.