1,535 research outputs found
Orbital stability of the restricted three body problem in General Relativity
We consider the problem of orbital stability of the motion of a test particle
in the restricted three-body problem, by using the orbital moment and its time
derivative. We show that it is possible to get some insight into the stability
properties of the motion of test particles, without knowing the exact solutions
of the motion equations.Comment: 2 page
Cosmography and constraints on the equation of state of the Universe in various parametrizations
We use cosmography to present constraints on the kinematics of the Universe,
without postulating any underlying theoretical model. To this end, we use a
Monte Carlo Markov Chain analysis to perform comparisons to the supernova Ia
Union 2 compilation, combined with the Hubble Space Telescope measurements of
the Hubble constant, and the Hubble parameter datasets. We introduce a sixth
order cosmographic parameter and show that it does not enlarge considerably the
posterior distribution when comparing to the fifth order results. We also
propose a way to construct viable parameter variables to be used as
alternatives of the redshift . These can overcome both the problems of
divergence and lack of accuracy associated with the use of . Moreover, we
show that it is possible to improve the numerical fits by re-parameterizing the
cosmological distances. In addition, we constrain the equation of state of the
Universe as a whole by the use of cosmography. Thus, we derive expressions
which can be directly used to fit the equation of state and the pressure
derivatives up to fourth order. To this end, it is necessary to depart from a
pure cosmographic analysis and to assume the Friedmann equations as valid. All
our results are consistent with the CDM model, although alternative
fluid models, with nearly constant pressure and no cosmological constant, match
the results accurately as well.Comment: 23 pages. 1 reference added. Minor correction
Quantum bounds for gravitational de Sitter entropy and the Cardy-Verlinde formula
We analyze different types of quantum corrections to the Cardy-Verlinde
entropy formula in a Friedmann-Robertson-Walker universe and in an (anti)-de
Sitter space. In all cases we show that quantum corrections can be represented
by an effective cosmological constant which is then used to redefine the
parameters entering the Cardy-Verlinde formula so that it becomes valid also
with quantum corrections, a fact that we interpret as a further indication of
its universality. A proposed relation between Cardy-Verlinde formula and the
ADM Hamiltonian constraint is given.Comment: LaTeX file, 15 pages, reference is adde
Geometric Thermodynamics of Schwarzschild-AdS black hole with a Cosmological Constant as State Variable
The thermodynamics of the Schwarzschild-AdS black hole is reformulated within
the context of the recently developed formalism of geometrothermodynamics
(GTD). Different choices of the metric in the equilibrium states manifold are
used in order to reproduce the Hawking-Page phase transition as a divergence of
the thermodynamical curvature scalar. We show that the enthalpy and total
energy representations of GTD does not reproduce the transition while the
entropy rep- resentation gives the expected behavior.Comment: 14 page
Time and "angular" dependent backgrounds from stationary axisymmetric solutions
Backgrounds depending on time and on "angular" variable, namely polarized and
unpolarized Gowdy models, are generated as the sector inside
the horizons of the manifold corresponding to axisymmetric solutions. As is
known, an analytical continuation of ordinary -branes, -branes allows
one to find -brane solutions. Simple models have been constructed by means
of analytic continuation of the Schwarzchild and the Kerr metrics. The
possibility of studying the -Gowdy models obtained here is outlined with an
eye toward seeing if they could represent some kind of generalized -branes
depending not only on time but also on an ``angular'' variable.Comment: 24 pages, 5 figures, corrected typos, references adde
Geometrothermodynamics of five dimensional black holes in Einstein-Gauss-Bonnet-theory
We investigate the thermodynamic properties of 5D static and spherically
symmetric black holes in (i) Einstein-Maxwell-Gauss-Bonnet theory, (ii)
Einstein-Maxwell-Gauss-Bonnet theory with negative cosmological constant, and
in (iii) Einstein-Yang-Mills-Gauss-Bonnet theory. To formulate the
thermodynamics of these black holes we use the Bekenstein-Hawking entropy
relation and, alternatively, a modified entropy formula which follows from the
first law of thermodynamics of black holes. The results of both approaches are
not equivalent. Using the formalism of geometrothermodynamics, we introduce in
the manifold of equilibrium states a Legendre invariant metric for each black
hole and for each thermodynamic approach, and show that the thermodynamic
curvature diverges at those points where the temperature vanishes and the heat
capacity diverges.Comment: New sections added, references adde
Source integrals of asymptotic multipole moments
We derive source integrals for multipole moments that describe the behaviour
of static and axially symmetric spacetimes close to spatial infinity. We assume
isolated non-singular sources but will not restrict the matter content
otherwise. Some future applications of these source integrals of the asymptotic
multipole moments are outlined as well.Comment: 9 pages, 1 figure, contribution to the proceedings of the conference
"Relativity and Gravitation - 100 Years after Einstein in Prague", June
25-29, 2012, Pragu
Thermodynamic Geometry Of Charged Rotating BTZ Black Holes
We study the thermodynamics and the thermodynamic geometries of charged
rotating BTZ (CR-BTZ) black holes in (2+1)-gravity. We investigate the
thermodynamics of these systems within the context of the Weinhold and
Ruppeiner thermodynamic geometries and the recently developed formalism of
geometrothermodynamics (GTD). Considering the behavior of the heat capacity and
the Hawking temperature, we show that Weinhold and Ruppeiner geometries cannot
describe completely the thermodynamics of these black holes and of their
limiting case of vanishing electric charge. In contrast, the Legendre
invariance imposed on the metric in GTD allows one to describe the CR-BTZ black
holes and their limiting cases in a consistent and invariant manner
Robust Inflation from fibrous strings
Successful inflationary models should (i) describe the data well; (ii) arise generically from sensible UV completions; (iii) be insensitive to detailed fine-tunings of parameters and (iv) make interesting new predictions. We argue that a class of models with these properties is characterized by relatively simple potentials with a constant term and negative exponentials. We here continue earlier work exploring UV completions for these models—including the key (though often ignored) issue of modulus stabilisation—to assess the robustness of their predictions. We show that string models where the inflaton is a fibration modulus seem to be robust due to an effective rescaling symmetry, and fairly generic since most known Calabi-Yau manifolds are fibrations. This class of models is characterized by a generic relation between the tensor-to-scalar ratio r and the spectral index ns of the form r ∝ (ns−1)2 where the proportionality constant depends on the nature of the effects used to develop the inflationary potential and the topology of the internal space. In particular we find that the largest values of the tensor-to-scalar ratio that can be obtained by generalizing the original set-up are of order r lesssim 0.01. We contrast this general picture with specific popular models, such as the Starobinsky scenario and α-attractors. Finally, we argue the self consistency of large-field inflationary models can strongly constrain non-supersymmetric inflationary mechanisms
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