196 research outputs found
Conformal couplings of Galileons to other degrees of freedom
We discuss a formulation of Galileon actions in terms of matrix determinants
in four dimensions. This approach allows one to straightforwardly determine
derivative couplings between Galileons and scalar or vector degrees of freedom
that lead to equations of motion with at most two space-time derivatives. We
use this method to easily build generalizations of Galileon set-ups preserving
conformal symmetry, finding explicit examples of couplings between Galileons
and additional degrees of freedom that preserve the Galileon conformal
invariance. We discuss various physical applications of our method and of our
results.Comment: 11 pages, no figures. v2: JHEP versio
Hidden conformal symmetries for black holes in modified gravity
We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric, asymptotically flat black hole geometry. They allow us to factorize second order operators controlling the black hole perturbations into a product of two commuting first order operators. As a consequence, we are able to analytically determine the most general time-dependent solutions for theblack hole perturbation equations. We focus on solutions belonging to a highest weight representation of a conformal symmetry, showing that they correspond to quasibound states with an ingoing behavior into the black hole horizon, and exponential decay at spatial infinity. Their time dependence is characterized by purely imaginary frequencies, with imaginary parts separated by integer numbers, as the overtones of quasinormal modes in general relativit
Symmetries for scalarless scalar theories
We consider theories containing scalar fields interacting with vector or with
tensor degrees of freedom, equipped with symmetries that prevent the
propagation of linearized scalar excitations around solutions of the equations
of motion. We first study the implications of such symmetries for building
vector theories that break Abelian gauge invariance without necessarily
exciting longitudinal scalar fluctuations in flat space. We then examine
scalar-tensor theories in curved space, and relate the symmetries we consider
with a non-linear realization of broken space-time symmetries acting on scalar
modes. We determine sufficient conditions on the space-time geometry to avoid
the propagation of scalar fluctuations. We analyze linearized perturbations
around spherically symmetric black holes, proving the absence of scalar
excitations, and pointing out modifications in the dynamics of spin-2
fluctuations with respect to Einstein gravity. We then study consequences of
this set-up for the dark energy problem, determining scalar constraints on
cosmological configurations that can lead to self-accelerating universes whose
expansion is insensitive to the value of the bare cosmological constant.Comment: 27 pages. References added, to appear in PR
Large |η| approach to single field inflation
Single field models of inflation capable of producing primordial black holes usually require a significant departure from the standard, perturbative slow-roll regime. In fact, in many of these scenarios, the size of the slow-roll parameter |η| becomes larger than one during a short phase of inflationary evolution. In order to develop an analytical control on these systems, we explore the limit of |η| large, and promote 1/|η| to a small quantity to be used for perturbative expansions. Formulas simplify, and we obtain analytic expressions for the two and three point functions of curvature fluctuations, which share some of the features found in realistic inflationary models generating primordial black holes. We study one-loop corrections in this framework: we discuss criteria for adsorbing ultraviolet divergences into the available parameters, leaving log-enhanced infrared contributions of controllable size
Stochastic approach to gravitational waves from inflation
We propose a coarse-graining procedure for describing the superhorizon
dynamics of inflationary tensor modes. Our aim is to formulate a stochastic
description for the statistics of spin-2 modes which seed the background of
gravitational waves from inflation. Using basic principles of quantum
mechanics, we determine a probability density for coarse-grained tensor fields,
which satisfies a stochastic Fokker-Planck equation at superhorizon scales. The
corresponding noise and drift are computable, and depend on the cosmological
system under consideration. Our general formulas are applied to a variety of
cosmological scenarios, also considering cases seldom considered in the context
of stochastic inflation, and which are important for their observational
consequences. We start obtaining the expected expressions for noise and drift
in pure de Sitter and power-law inflation, also including a discussion of
effects of non-attractor phases. We then apply our methods to describe
scenarios with a transition from inflation to standard cosmological eras of
radiation and matter domination. We show how the interference between modes
flowing through the cosmological horizon, and modes spontaneously produced at
superhorizon scales, can affect the stochastic evolution of coarse-grained
tensor quantities. In appropriate limits, we find that the corresponding
spectrum of tensor modes at horizon crossing matches with the results of
quantum field theory calculations, but we also highlight where differences can
arise.Comment: 27 pages, 2 figure
Extended scalar-tensor theories of gravity
We study new consistent scalar-tensor theories of gravity recently introduced by Langlois and Noui with potentially interesting cosmological applications. We derive the conditions for the existence of a primary constraint that prevents the propagation of an additional dangerous mode associated with higher order equations of motion. We then classify the most general, consistent scalar-tensor theories that are at most quadratic in the second derivatives of the scalar field. In addition, we investigate the possible connection between these theories and (beyond) Horndeski through conformal and disformal transformations. Finally, we point out that these theories can be associated with new operators in the effective field theory of dark energy, which might open up new possibilities to test dark energy models in future surveys
Kinematic anisotropies and pulsar timing arrays
Doppler anisotropies, induced by our relative motion with respect to the
source rest frame, are a guaranteed property of stochastic gravitational wave
backgrounds of cosmological origin. If detected by future pulsar timing array
measurements, they will provide interesting information on the physics sourcing
gravitational waves, which is hard or even impossible to extract from
measurements of the isotropic part of the background only. We analytically
determine the pulsar response function to kinematic anisotropies, including
possible effects due to parity violation, to features in the frequency
dependence of the isotropic part of the spectrum, as well as to the presence of
extra scalar and vector polarizations. For the first time, we show how the
sensitivity to different effects crucially depends on the pulsar configuration
with respect to the relative motion among frames. Correspondingly, we propose
examples of strategies of detection, each aimed at exploiting future
measurements of kinematic anisotropies for characterizing distinct features of
the cosmological gravitational wave background.Comment: 18+10 pages, 6 figure
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