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De Sitter Spacetime

Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-Anti-de Sitter spacetime

Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-Anti-de Sitter spacetime

... Anti-de Sitter black holes, ...Kerr-Anti-de Sitter family of space-times [15] and localized a resonance exponentially close to the real axis [14] adapting a method of ...Schwarzschild-Anti-de Sitter ...

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Quasimodes and a lower bound for the local energy decay of the Dirac equation in Schwarzschild-Anti-de Sitter spacetime

Quasimodes and a lower bound for the local energy decay of the Dirac equation in Schwarzschild-Anti-de Sitter spacetime

... Kerr-Anti-de Sitter family of black ...Kerr-Anti-de Sitter spacetime may not be stable, at least for the reflecting boundary ...Schwarzschild-Anti-de Sitter, ...this spacetime with ...

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Scattering theory for the Dirac equation on the Schwarzschild-Anti-de Sitter spacetime

Scattering theory for the Dirac equation on the Schwarzschild-Anti-de Sitter spacetime

... P + m is called the asymptotic velocity and is in fact the identity operator. The paper is organized as follows. In section 2, we present the Schwarzschild-AdS geometry and, due to the lack of global hyperbolicity, the ...

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Boundedness of the total energy of relativistic membranes evolving in a curved spacetime

Boundedness of the total energy of relativistic membranes evolving in a curved spacetime

... Schwarzschild spacetime, furthermore, they showed the global existence and blowup of smooth radial solutions according to different assumptions on the initial ...de Sitter spacetime when the initial ...

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Métriques prescrites sur le bord du coeur convexe d'une variété anti-de Sitter globalement hyperbolique maximale compacte de dimension trois

Métriques prescrites sur le bord du coeur convexe d'une variété anti-de Sitter globalement hyperbolique maximale compacte de dimension trois

... 2.1.3 Constraint equations A GHMC anti-de Sitter spacetime is well defined if we know a Cauchy surface with enough data to allow us to reconstruct the whole manifold. Typically, those data are the induced ...

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Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric

Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric

... From our point of view one of the most efficient approaches to the question of local en- ergy decay is the theory of resonances. Resonances correspond to the frequencies and rates of dumping of signals emitted by the ...

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The global nonlinear stability of Minkowski spacetime for self-gravitating massive fields. A brief overview

The global nonlinear stability of Minkowski spacetime for self-gravitating massive fields. A brief overview

... 2. they analyzed the geometry of null cones and defined a double null- maximal foliation, 3. and they relied on all of the Killing fields of Minkowski spacetime. The earlier work by Friedrich [10] also addressed ...

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The Natario Warp Drive using Lorentz Boosts according to the Harold White Spacetime Metric potential $\theta$

The Natario Warp Drive using Lorentz Boosts according to the Harold White Spacetime Metric potential $\theta$

... the spacetime behind an object and contraction of the spacetime in ...contracts spacetime but deals with the spacetime as a ”strain” tensor of Fluid Mechanics(pg 5 in ...

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Ford-Pfenning Quantum Inequalities(QI) in the Natario Warp Drive Spacetime using the Planck Length Scale

Ford-Pfenning Quantum Inequalities(QI) in the Natario Warp Drive Spacetime using the Planck Length Scale

... but an external observer would see the object passing by him at superluminal speeds(pg 8 in [1])(pg 1 in [2]). Later on in 2001 another warp drive appeared due to the work of Natario.([2]).This do not expands or ...

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Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

... a spacetime picture of the hadron-pair-formation process is not immediate, however, since relativistic amplitudes are normally handled in momentum space, and the processes involving pair creation or annihilation ...

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Relativistic Stereometric Coordinates from Relativistic Localizing Systems and the Projective Geometry of the Spacetime Manifold

Relativistic Stereometric Coordinates from Relativistic Localizing Systems and the Projective Geometry of the Spacetime Manifold

... of spacetime can be deduced from the causal axiomatics as shown, historically, for instance, by Ehlers et ...in spacetime, is not affected by scalings of the Lorentzian ...in spacetime which are ...

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The projective geometry of the spacetime yielded by relativistic positioning systems and relativistic location systems

The projective geometry of the spacetime yielded by relativistic positioning systems and relativistic location systems

... some spacetime contents and not only embedded geometrically in a neutral ...1+1 spacetime the CFMT protocol exhibits conformal parameters depending on accelerations (or energies) of the emitters, ...

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Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes

Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes

... 1 Introduction In this paper, we pursue our investigation of inverse scattering problems in black hole spacetimes initiated in [18] and continued in [19, 20]. Roughly speaking, the question we adressed in this serie of ...

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Inverse scattering at fixed energy for massive charged Dirac fields in de Sitter-Reissner-Nordström black holes

Inverse scattering at fixed energy for massive charged Dirac fields in de Sitter-Reissner-Nordström black holes

... A peculiarity of scattering theory in black hole spacetimes is the fact that we have to deal with two asymptotic regions. Indeed, we adopt the point of view of an observer located far away from the event and cosmological ...

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The Analysis of McMonigal,Lewis and O'Byrne applied to the Natario Warp Drive Spacetime

The Analysis of McMonigal,Lewis and O'Byrne applied to the Natario Warp Drive Spacetime

... .It remains at the rest inside the so called warp bubble but an external observer would see the object passing by him at superluminal speeds(pg 8 in [1])(pg 1 in [2]). Later on in 2001 another warp drive appeared due to ...

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Horizons(causally Disconnected Regions of Spacetime) and Infinite Doppler Blueshifts in Both Alcubierre and Natario Warp Drive Spacetimes

Horizons(causally Disconnected Regions of Spacetime) and Infinite Doppler Blueshifts in Both Alcubierre and Natario Warp Drive Spacetimes

... (39) Now a little bit of Warp Drive basics:An observer inside the Warp Bubble feel no accelerations and no g-forces if the Warp Bubble moves with a vs = 200(two hundred times faster than light) with respect to a distant ...

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The Casimir warp drive:Is the Casimir Effect a valid candidate to generate and sustain a Natario warp drive spacetime bubble??

The Casimir warp drive:Is the Casimir Effect a valid candidate to generate and sustain a Natario warp drive spacetime bubble??

... the spacetime act like a river stream in the Natario model carrying the warp bubble with the spaceship inside at the rest but a distant observer sees the bubble passing by him at a large speed and in our case 200 ...

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The Analysis of Harold White applied to the Natario Warp Drive Spacetime. From $10$ times the mass of the Universe to arbitrary low levels of negative energy density using a continuous Natario shape function with power factors.Warp Drives with two warped

The Analysis of Harold White applied to the Natario Warp Drive Spacetime. From $10$ times the mass of the Universe to arbitrary low levels of negative energy density using a continuous Natario shape function with power factors.Warp Drives with two warped regions

... The Natario warp drive once created can survive against all the obstacles pointed as physical impossi- bilities that rules out the warp drive as a dynamical spacetime. Lastly and in order to terminate this ...

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The Analysis of Harold White applied to the Natario Warp Drive Spacetime. From $10$ times the mass of the Universe to the mass of the Mount Everest

The Analysis of Harold White applied to the Natario Warp Drive Spacetime. From $10$ times the mass of the Universe to the mass of the Mount Everest

... Alcubierre spacetime the amounts of negative energy density needed to maintain the warp drive can be lowered to more reasonable ...drive spacetime and by a manipulation of the parameter @ in the original ...

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How Much Degrees Of Temperature A Warp Drive Achieves When At Superluminal Speeds?? The Analysis Of Gonzalez-Diaz Applied To The Natario Warp Drive Spacetime

How Much Degrees Of Temperature A Warp Drive Achieves When At Superluminal Speeds?? The Analysis Of Gonzalez-Diaz Applied To The Natario Warp Drive Spacetime

... drive spacetime and we arrive at an in- teresting result:When at luminal speed the Horizon is formed not in the ∞ but in the end of the Natario warped region and as fast the ship goes by superluminally this ...

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