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Emergence of Friedmann Equation of Cosmology of a Flat Universe from the Time-Energy Uncertainty Principle

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A comment on the construction of the maximal globally hyperbolic Cauchy development

Willie Wai Yeung Wong

Under mild assumptions, we remove all traces of the axiom of choice from the construction of the maximal globally hyperbolic Cauchy development in general relativity. The construction relies on the notion of direct union manifolds, which we review. The con ...

American Institute of Physics2013

Cosmological Perturbation Theory

Sylvain Bréchet

Firstly, a dynamical analysis of adiabatic perturbations of a perfect fluid is performed to first-order about a general FLRW background using the 1 + 3 covariant and gauge-invariant formalism. The 1 + 3 covariant analog of the Mukhanov-Sasaki and Grishchuk ...

University of Cambridge2009

Galileon as a local modification of gravity

Riccardo Rattazzi

In the Dvali-Gabadadze-Porrati (DGP) model, the "self-accelerating" solution is plagued by a ghost instability, which makes the solution untenable. This fact, as well as all interesting departures from general relativity (GR), are fully captured by a four- ...

2009

Lorentz-breaking massive gravity in curved space

Diego Blas Temino

A systematic study of the different phases of Lorentz-breaking massive gravity in a curved background is performed. For tensor and vector modes, the analysis is very close to that of Minkowski space. The most interesting results are in the scalar sector wh ...

2009

Classical big-bounce cosmology: dynamical analysis of a homogeneous and irrotational Weyssenhoff fluid

Sylvain Bréchet

A dynamical analysis of an effective homogeneous and irrotational Weyssenhoff fluid in general relativity is performed using the 1 + 3 covariant approach that enables the dynamics of the fluid to be determined without assuming any particular form for the s ...

Institute of Physics2008

On the focusing critical semi-linear wave equation

Joachim Krieger

The wave equation partial derivative tt psi - Delta psi - psi(5) = 0 in R-3 is known to exhibit finite time blowup for data of negative energy. Furthermore, it admits the special static solutions phi(x, a) = (3a)(1/4) (1 + a\x(2))- 1/2 for all a > 0 which ...

2007

Primordial magnetic fields

We discuss here the following questions related to magnetic fields in the early universe: 1. Observational constraints on primordial magnetic fields. 2. Different ideas put forward for explanation of large scale fields which can seed the galactic magnetic ...

2005

Gravitational dipole radiations from binary systems

Yves Wiaux

We investigate the possibility of generating sizeable dipole radiations in relativistic theories of gravity. Optimal parameters to observe their effects through the orbital period decay of binary star systems are discussed. Constraints on gravitational cou ...

2002

Quantization, Doppler shift and invariance of the speed of light: some didactic problems and opportunities

Giorgio Margaritondo

I discuss some of the didactic problems in the introduction to quantum physics based on the concept of photon. I specifically argue that the derivation of the photon energy from the relativistic Doppler shift offers stimulating didactic opportunities. A de ...

1995