8 research outputs found
Non-Relativistic Gravitation: From Newton to Einstein and Back
We present an improvement to the Classical Effective Theory approach to the
non-relativistic or Post-Newtonian approximation of General Relativity. The
"potential metric field" is decomposed through a temporal Kaluza-Klein ansatz
into three NRG-fields: a scalar identified with the Newtonian potential, a
3-vector corresponding to the gravito-magnetic vector potential and a 3-tensor.
The derivation of the Einstein-Infeld-Hoffmann Lagrangian simplifies such that
each term corresponds to a single Feynman diagram providing a clear physical
interpretation. Spin interactions are dominated by the exchange of the
gravito-magnetic field. Leading correction diagrams corresponding to the 3PN
correction to the spin-spin interaction and the 2.5PN correction to the
spin-orbit interaction are presented.Comment: 10 pages, 3 figures. v2: published version. v3: Added a computation
of Einstein-Infeld-Hoffmann in higher dimensions within our improved ClEFT
which partially confirms and partially corrects a previous computation. See
notes added at end of introductio
Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
Using effective field theory (EFT) techniques we calculate the
next-to-leading order (NLO) spin-orbit contributions to the gravitational
potential of inspiralling compact binaries. We use the covariant spin
supplementarity condition (SSC), and explicitly prove the equivalence with
previous results by Faye et al. in arXiv:gr-qc/0605139. We also show that the
direct application of the Newton-Wigner SSC at the level of the action leads to
the correct dynamics using a canonical (Dirac) algebra. This paper then
completes the calculation of the necessary spin dynamics within the EFT
formalism that will be used in a separate paper to compute the spin
contributions to the energy flux and phase evolution to NLO.Comment: 25 pages, 4 figures, revtex4. v2: minor changes, refs. added. To
appear in Class. Quant. Gra
Casimir effect in de Sitter and Anti-de Sitter braneworlds
We discuss the bulk Casimir effect (effective potential) for a conformal or
massive scalar when the bulk represents five-dimensional AdS or dS space with
two or one four-dimensional dS brane, which may correspond to our universe.
Using zeta-regularization, the interesting conclusion is reached, that for both
bulks in the one-brane limit the effective potential corresponding to the
massive or to the conformal scalar is zero. The radion potential in the
presence of quantum corrections is found. It is demonstrated that both the dS
and the AdS braneworlds may be stabilized by using the Casimir force only. A
brief study indicates that bulk quantum effects are relevant for brane
cosmology, because they do deform the de Sitter brane. They may also provide a
natural mechanism yielding a decrease of the four-dimensional cosmological
constant on the physical brane of the two-brane configuration.Comment: 37 pages, LaTeX, references added, some revision is done, version to
appear in PR
Matched Asymptotic Expansion for Caged Black Holes - Regularization of the Post-Newtonian Order
The "dialogue of multipoles" matched asymptotic expansion for small black
holes in the presence of compact dimensions is extended to the Post-Newtonian
order for arbitrary dimensions. Divergences are identified and are regularized
through the matching constants, a method valid to all orders and known as
Hadamard's partie finie. It is closely related to "subtraction of
self-interaction" and shows similarities with the regularization of quantum
field theories. The black hole's mass and tension (and the "black hole
Archimedes effect") are obtained explicitly at this order, and a Newtonian
derivation for the leading term in the tension is demonstrated. Implications
for the phase diagram are analyzed, finding agreement with numerical results
and extrapolation shows hints for Sorkin's critical dimension - a dimension
where the transition turns second order.Comment: 28 pages, 5 figures. v2:published versio
Cosmological Solutions on Compactified AdS_5 with a Thermal Bulk
This paper is an investigation of the effects of a thermal bulk fluid in
brane world models compactified on AdS_5. Our primary purpose is to study how
such a fluid changes the bulk dynamics and to compare these effects with those
generated by matter localized to the branes. We find an exact cosmological
solution for a thermally excited massless bulk field, as well as perturbative
solutions with matter on the brane and in the bulk. We then perturb around
these solutions to find solutions for a massive bulk mode in the limit where
the bulk mass (m_B) is small compared to the AdS curvature scale and T< m_B. We
find that without a stabilizing potential there are no physical solutions for a
thermal bulk fluid. We then include a stabilizing potential and calculate the
shift in the radion as well as the time dependence of the weak scale as a
function of the bulk mass. It is shown that, as opposed to a brane fluid, the
bulk fluid contribution to the bulk dynamics is controlled by the bulk mass.Comment: 20 pages LATE
Baryon Number in Warped GUTs : Model Building and (Dark Matter Related) Phenomenology
In the past year, a new non-supersymmetric framework for electroweak symmetry
breaking (with or without Higgs) involving SU(2)_L * SU(2)_R * U(1)_{B-L} in
higher dimensional warped geometry has been suggested. In this work, we embed
this gauge structure into a GUT such as SO(10) or Pati-Salam. We showed
recently (in hep-ph/0403143) that in a warped GUT, a stable Kaluza-Klein
fermion can arise as a consequence of imposing proton stability. Here, we
specify a complete realistic model where this particle is a weakly interacting
right-handed neutrino, and present a detailed study of this new dark matter
candidate, providing relic density and detection predictions. We discuss
phenomenological aspects associated with the existence of other light (<~ TeV)
KK fermions (related to the neutrino), whose lightness is a direct consequence
of the top quark's heaviness. The AdS/CFT interpretation of this construction
is also presented. Most of our qualitative results do not depend on the nature
of the breaking of the electroweak symmetry provided that it happens near the
TeV brane.Comment: 61 pages, 12 figures; v2: minor changes; v3: Two additional diagrams
in Fig. 10; a numerical factor corrected in section 16.1 (baryogenesis
section), corresponding discussion slightly modified but qualitative results
unchange