291 research outputs found
The Black Hole Radiation in Massive Gravity
We apply the Bogoliubov transformations in order to connect two different
vacuums, one~located at past infinity and another located at future infinity
around a black hole inside the scenario of the nonlinear theory of massive
gravity. The presence of the extra degrees of freedom changes the behavior of
the logarithmic singularity and, as a consequence, the relation between the two
Bogoliubov coefficients. This has an effect on the number of particles, or
equivalently, on the black hole temperature perceived by observers defining the
time arbitrarily.Comment: Title changed in order to match the published version. Version
focused on the particle creation process of black-hole in massive gravit
The graviton Higgs mechanism
The Higgs mechanism at the graviton level formulated as a Vainshtein
mechanism in time domains implies that the extra-degrees of freedom become
relevant depending on the direction of time (frame of reference) with respect
to the preferred time direction (preferred frame) defined by the St\"uckelberg
function which contains the information of the extra-degrees of
freedom of the theory. In this manuscript, I make the general definition of the
Higgs mechanism by analyzing the gauge symmetries of the action and the general
form of the vacuum solutions for the graviton field. In general, the symmetry
generators depending explicitly on the St\"uckelberg fields are broken at the
vacuum level. These broken generators, define the number of Nambu-Goldstone
bosons which will be eating up by the dynamical metric in order to become
massive.Comment: 5 pages, Version published in Europhysics Letters (EPL
On the apparent loss of predictability inside the de-Rham-Gabadadze-Tolley non-linear formulation of massive gravity: The Hawking radiation effect
I explain in a simple and compact form the origin of the apparent loss of
predictability inside the dRGT non-linear formulation of massive gravity. This
apparent pathology was first reported by Kodama and the author when the
stability of the Schwarzschild de-Sitter (S-dS) black-hole in dRGT was
analyzed. If we study the motion of a massive test particle around the S-dS
solution, we find that the total energy is not conserved in the usual sense.
The conserved quantity associated with time appears as a combination of the
total energy and a velocity-dependent term. If the equations of motion are
written in terms of this conserved quantity, then the three-dimensional motion
in dRGT will not differ with respect to the same situation of Einstein gravity
(GR). The differences with respect to GR will appear whenever we have a
dynamical situation. I explore the Hawking radiation as an example where we can
find differences between GR and dRGT.Comment: Published versio
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