Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userRainbow metric formalism and Relative Locality
99
0
0.0
(
0
)
Ask ChatGPT about the research
No Arabic abstract
This proceeding is based on a talk prepared for the XIII Marcell Grossmann meeting. We summarise some results of work in progress in collaboration with Giovanni Amelino-Camelia about momentum dependent (Rainbow) metrics in a Relative Locality framework and we show that this formalism is equivalent to the Hamiltonian formalization of Relative Locality obtained in arXiv:1102.4637.
rate research
Read More
In this proceedings for the MG14 conference, we discuss the construction of a phenomenology of Planck-scale effects in curved spacetimes, underline a few open issues and describe some perspectives for the future of this research line.
In this paper, we study the various cylindrical solutions (cosmic strings) in gravitys rainbow scenario. In particular, we calculate the gravitational field equations corresponding to energy-dependent background. Further, we discuss the possible Kasner, quasi-Kasner and non-Kasner exact solutions of the field equations. In this framework, we find that quasi-Kasner solutions can not be realized in gravitys rainbow. Assuming only time-dependent metric functions, we also analyse the time-dependent vacuum cosmic strings in gravitys rainbow, which are completely different than the other GR solutions.
In this work, we consider that in energy scales greater than the Planck energy, the geometry, fundamental physical constants, as charge, mass, speed of light and Newtonian constant of gravitation, and matter fields will depend on the scale. This type of theory is known as Rainbow Gravity. We coupled the nonlinear electrodynamics to the Rainbow Gravity, defining a new mass function $M(r,epsilon)$, such that we may formulate new classes of spherically symmetric regular black hole solutions, where the curvature invariants are well-behaved in all spacetime. The main differences between the General Relativity and our results in the the Rainbow gravity are: a) The intensity of the electric field is inversely proportional to the energy scale. The higher the energy scale, the lower the electric field intensity; b) the region where the strong energy condition (SEC) is violated decrease as the energy scale increase. The higher the energy scale, closer to the radial coordinate origin SEC is violated.
In this paper, we study the effects of rainbow gravity on relativistic Bose-Einstein condensation and thermodynamics parameters. We initially discussed some formal aspects of the model to only then compute the corrections to the Bose-Einstein condensation. The calculations were carried out by computing the generating functional, from which we extract the thermodynamics parameters. The corrected critical temperature $T_c$ that sets the Bose-Einstein Condensation was also computed for the three mostly adopted cases for the rainbow functions. We have also obtained a phenomenological upper bound for a combination of the quantities involved in the model, besides showing the possibility of occurrence of the Bose-Einstein condensation in two spatial dimensions under appropriate conditions on those functions. Finally, we have discussed how harder is for the particles at an arbitrary temperature $T<T_c$ to enter the condensed state when compared with the usual scenario.
In this paper, we will study the rainbow deformation of the FRW cosmology in both Einstein gravity and Gauss-Bonnet gravity. We will demonstrate that the singularity in the FRW cosmology can be removed because of the rainbow deformation of the FRW metric. We will obtain the general constraints required for the FRW cosmology to be free from singularities. It will be observed that the inclusion of Gauss-Bonnet gravity can significantly change the constraints required to obtain a nonsingular universes. We will use a rainbow functions motivated from the hard spectra of gamma-ray bursts to deform the FRW cosmology, and it will be explicitly demonstrated that such a deformation removes the singularity in the FRW cosmology.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
