Modified dispersion relations in extra dimensions

Modified Dispersion Relations and trans-Planckian Physics

We consider modified dispersion relations in quantum field theory on curved space-time. Such relations, despite breaking the local Lorentz invariance at high energy, are considered in several phenomenological approaches to quantum gravity. Their existence involves a modification of the formalism of quantum field theory, starting from the problem of finding the scalar Green’s functions up to the...

Near Scale Invariance with Modified Dispersion Relations

Modified dispersion relations and black hole physics

A modified formulation of energy-momentum relation is proposed in the context of doubly special relativity. We investigate its impact on black hole physics. It turns out that such modification will give corrections to both the temperature and the entropy of black holes. In particular this modified dispersion relation also changes the picture of Hawking radiation greatly when the size of black h...

Accelerating Universe from Modified Kasner Model in Extra Dimensions

We find the power-law solutions in (4+n)-dimensional cosmology with time-varying cosmological constant and study the phase of cosmic evolution. The model corresponds to the modification of the higher dimensional vacuum Kasner model. When a dimensionfull parameter in the model takes special value, it is shown that 4-dimensional universe is accelerated expansion. ∗[email protected]

Loop Quantum Cosmology, Modified Gravity and Extra Dimensions

Loop quantum cosmology (LQC) is a framework of quantum cosmology based on the quantization of symmetry reduced models following the quantization techniques of loop quantum gravity (LQG). This paper is devoted to reviewing LQC as well as its various extensions including modified gravity and higher dimensions. For simplicity considerations, we mainly focus on the effective theory, which captures ...