123 research outputs found
An Einstein-like theory of gravity with a non-newtonian weak-field limit
We propose a model describing Einstein gravity coupled to a scalar field with
an exponential potential. We show that the weak-field limit of the model has
static solutions given by a gravitational potential behaving for large
distances as \ln r . The Newtonian term GM/r appears only as subleading. Our
model can be used to give a phenomenological explanation of the rotation curves
of the galaxies without postulating the presence of dark matter. This can be
achieved only by giving up at galactic scales Einstein equivalence principle.Comment: Final version, accepted for publication on General Relativity and
Gravitatio
Induced gravity and entanglement entropy of 2D black holes
Using the fact that 2D Newton constant is wholly induced by a conformal field
theory, we derive a formula for the entanglement entropy of the anti-de Sitter
black hole in two spacetime dimensions. The leading term in the large black
hole mass expansion of our formula reproduces exactly the Bekenstein-Hawking
entropy S_{BH}, whereas the subleading term behaves as ln S_{BH}. This
subleading term has the universal form typical for the entanglement entropy of
physical systems described by effective conformal fields theories (e.g.
one-dimensional statistical models at the critical point).Comment: 6 page
Holography of charged dilatonic black branes at finite temperature
We investigate bulk and holographic features of finite-temperature black
brane solutions of 4D anti-de Sitter Einstein-Maxwell-dilaton-gravity (EMDG).
We construct, numerically, black branes endowed with non trivial scalar hairs
for broad classes of EMDG. We consider both exponential and power-law forms for
the coupling functions, as well as several charge configurations: purely
electric, purely magnetic and dyonic solutions. At finite temperature the field
theory holographically dual to these black brane solutions has a rich and
interesting phenomenology reminiscent of electron motion in metals: phase
transitions triggered by nonvanishing VEV of scalar operators, non-monotonic
behavior of the electric conductivities as function of the frequency and of the
temperature, Hall effect and sharp synchrotron resonances of the conductivity
in presence of a magnetic field. Conversely, in the zero temperature limit the
conductivities for these models show a universal behavior. The optical
conductivity has a power-law behavior as a function of the frequency, whereas
the DC conductivity is suppressed at small temperatures.Comment: 29 pages 14 figures, typos corrected, reference adde
Hyperscaling violation for scalar black branes in arbitrary dimensions
We extend to black branes (BB) in arbitrary dimensions the results of Ref.
[1] about hyperscaling violation and phase transition for scalar black
2-branes. We derive the analytic form of the (d+1)-dimensional scalar soliton
interpolating between a conformal invariant AdS vacuum in the infrared and a
scale covariant metric in the ultraviolet. We show that the thermodynamical
system undergoes a phase transition between Schwarzschild-AdS and a
scalar-dressed BB. We calculate the critical exponent and the hyperscaling
violation parameter in the two phases. We show that our scalar BB solutions
generically emerge as compactifications of p-brane solutions of supergravity
theories. We also derive the short distance form of the correlators for the
scalar operators corresponding to an UV exponential potential supporting our
black brane solution. We show that also for negative values of the hyperscaling
violation parameter these correlators have a short distance power-law behavior.Comment: Final version accepted for publication in JHE
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