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Abstract Cosmological Black Holes as Models of Cosmological Inhomogeneities
, 2006
"... Since cosmological black holes modify the density and pressure of the surrounding universe, and introduce heat conduction, they produce simple models of cosmological inhomogeneities that can be used to study the eect of inhomogeneities on the universe's expansion. In this thesis, new cosmologi ..."
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Since cosmological black holes modify the density and pressure of the surrounding universe, and introduce heat conduction, they produce simple models of cosmological inhomogeneities that can be used to study the eect of inhomogeneities on the universe's expansion. In this thesis, new
A closedform solution for options with stochastic volatility with applications to bond and currency options
 Review of Financial Studies
, 1993
"... I use a new technique to derive a closedform solution for the price of a European call option on an asset with stochastic volatility. The model allows arbitrary correlation between volatility and spotasset returns. I introduce stochastic interest rates and show how to apply the model to bond option ..."
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Cited by 1512 (6 self)
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I use a new technique to derive a closedform solution for the price of a European call option on an asset with stochastic volatility. The model allows arbitrary correlation between volatility and spotasset returns. I introduce stochastic interest rates and show how to apply the model to bond
Quantum Gravity
, 2004
"... We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level suitable for physicists in other areas such as string theor ..."
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Cited by 572 (11 self)
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integral quantizations, coupling to matter, extensions to supergravity and higher dimensional theories, as well as applications to black holes, cosmology and Plank scale phenomenology. We describe the near term prospects for observational tests of quantum theories of gravity and the expectations that loop
Breaking an Abelian gauge symmetry near a black hole horizon
, 2008
"... I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct. ..."
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Cited by 274 (8 self)
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I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.
Cosmological MultiBlack Hole Solutions ⋆
, 1992
"... We present simple, analytic solutions to the EinsteinMaxwell equation, which describe an arbitrary number of charged black holes in a spacetime with positive cosmological constant Λ. In the limit Λ = 0, these solutions reduce to the well known MajumdarPapapetrou (MP) solutions. Like the MP solutio ..."
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Cited by 1 (0 self)
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We present simple, analytic solutions to the EinsteinMaxwell equation, which describe an arbitrary number of charged black holes in a spacetime with positive cosmological constant Λ. In the limit Λ = 0, these solutions reduce to the well known MajumdarPapapetrou (MP) solutions. Like the MP
Shockwave cosmology inside a black hole
"... We construct a class of global exact solutions of the Einstein equations that extend the OppeheimerSnyder (OS) model to the case of nonzero pressure, inside the Black Hole, by incorporating a shock wave at the leading edge of the expansion of the galaxies, arbitrarily far beyond the Hubble length ..."
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Cited by 17 (7 self)
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the implosion. These shock wave solutions indicate a new cosmological model in which the Big Bang arises from a localized explosion occurring inside the Black Hole of a Schwarzschild spacetime. 1
Cosmological Black Holes
, 2001
"... In this letter we propose the existence of low density black holes and discuss its compatibility with the cosmological observations. The origin of these black holes can be traced back to the collapse of long wavelength cosmological perturbations during the matter dominated era, when the densities ar ..."
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In this letter we propose the existence of low density black holes and discuss its compatibility with the cosmological observations. The origin of these black holes can be traced back to the collapse of long wavelength cosmological perturbations during the matter dominated era, when the densities
Corrections to Macroscopic Supersymmetric BlackHole Entropy
, 1998
"... We determine the corrections to the entropy of extremal black holes arising from terms quadratic in the Riemann tensor in N = 2; D = 4 supergravity theories. We follow Wald's proposal to modify the BekensteinHawking area law. The new entropy formula, whose value only depends on the electric/ma ..."
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Cited by 169 (15 self)
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We determine the corrections to the entropy of extremal black holes arising from terms quadratic in the Riemann tensor in N = 2; D = 4 supergravity theories. We follow Wald's proposal to modify the BekensteinHawking area law. The new entropy formula, whose value only depends on the electric
A new cosmological scenario in string theory
 REV. D
, 2002
"... We consider new cosmological solutions with a collapsing, an intermediate and an expanding phase. The boundary between the expanding (collapsing) phase and the intermediate phase is seen by comoving observers as a cosmological past (future) horizon. The solutions are naturally embedded in string and ..."
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Cited by 108 (5 self)
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We consider new cosmological solutions with a collapsing, an intermediate and an expanding phase. The boundary between the expanding (collapsing) phase and the intermediate phase is seen by comoving observers as a cosmological past (future) horizon. The solutions are naturally embedded in string
Results 1  10
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7,406