scholarly journals Analytic Solutions of the Teukolsky Equation in Kerr-de Sitter and Kerr-Newman-de Sitter Geometries

1999 ◽  
Vol 102 (2) ◽  
pp. 253-272 ◽  
Author(s):  
Hisao Suzuki ◽  
Eiichi Takasugi ◽  
Hiroshi Umetsu
Keyword(s):  
Analytic Solutions ◽  
De Sitter ◽  
Teukolsky Equation

scholarly journals A way of decoupling gravitational sources in pure Lovelock gravity

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Milko Estrada
Keyword(s):  
Black Hole ◽  
Extra Dimensions ◽  
De Sitter Space ◽  
Analytic Solutions ◽  
De Sitter ◽  
Lovelock Gravity ◽  
Regular Black Hole ◽  
Physical Interest ◽  
Geometric Deformation ◽  
Black Hole Solutions

Abstract We provide an algorithm that shows how to decouple gravitational sources in pure Lovelock gravity. This method allows to obtain several new and known analytic solutions of physical interest in scenarios with extra dimensions and with presence of higher curvature terms. Furthermore, using our method, it is shown that applying the minimal geometric deformation to the Anti de Sitter space time it is possible to obtain regular black hole solutions.

scholarly journals Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Casey Cartwright ◽  
Benjamin Harms ◽  
Matthias Kaminski
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Analytic Solutions ◽  
Charge Density Waves ◽  
Entropy Density ◽  
Hawking Temperature ◽  
De Sitter ◽  
Abelian Gauge ◽  
Qcd Phase Diagram ◽  
Chern Numbers

Abstract We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory coupled to an SU(2)-current. All solutions are fully backreacted asymptotically Anti-de Sitter (AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted.

scholarly journals Towards an explicit construction of de Sitter solutions in classical supergravity

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Nakwoo Kim
Keyword(s):  
Boundary Conditions ◽  
Cosmological Constant ◽  
Explicit Construction ◽  
Analytic Solutions ◽  
De Sitter ◽  
Original Analysis

Abstract We revisit the stringy construction of four-dimensional de-Sitter solutions using orientifolds O8±, proposed by Córdova et al. (2019) [1]. While the original analysis of the supergravity equations is largely numerical, we obtain semi-analytic solutions by treating the curvature as a perturbative parameter. At each order we verify that the (permissive) boundary conditions at the orientifolds are satisfied. To illustrate the advantage of our result, we calculate the four-dimensional Newton constant as a function of the cosmological constant. We also discuss how the discontinuities at O8− can be accounted for in terms of corrections to the worldvolume action.

scholarly journals Constant-rate inflation: primordial black holes from conformal weight transitions

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Kin-Wang Ng ◽  
Yi-Peng Wu
Keyword(s):  
Black Holes ◽  
Power Spectrum ◽  
Analytic Solutions ◽  
Conformal Weight ◽  
Late Time ◽  
Primordial Black Holes ◽  
De Sitter ◽  
Slow Roll ◽  
Time Scaling ◽  
Constant Rate

Abstract Constant-rate inflation, including ultra-slow-roll inflation as a special case, has been widely applied to the formation of primordial black holes with a significant deviation from the standard slow-roll conditions at both the growing and decaying phases of the power spectrum. We derive analytic solutions for the curvature perturbations with respect to the late-time scaling dimensions (conformal weights) constrained by the dilatation symmetry of the de Sitter background and show that the continuity of conformal weights across different rolling phases is protected by the adiabatic condition of the inflaton perturbation. The temporal excitation of subleading states (with the next-to-lowest conformal weights), recorded as the “steepest growth” of the power spectrum, is triggered by the entropy production in the transition from the slow-roll to the constant-rate phases.

scholarly journals Analytic Solutions of the Teukolsky Equation and Their Low Frequency Expansions

1996 ◽  
Vol 95 (6) ◽  
pp. 1079-1096 ◽  
Author(s):  
S. Mano ◽  
H. Suzuki ◽  
E. Takasugi
Keyword(s):  
Low Frequency ◽  
Analytic Solutions ◽  
Teukolsky Equation

scholarly journals f(T) cosmology with nonzero curvature

2021 ◽  
Vol 36 (38) ◽  
Author(s):  
Andronikos Paliathanasis
Keyword(s):  
Cosmological Constant ◽  
Cosmological Solution ◽  
Constant Term ◽  
Analytic Solutions ◽  
De Sitter ◽  
Spatial Curvature ◽  
Field Equations ◽  
Background Space ◽  
Nonzero Curvature ◽  
Text Model

We investigate exact and analytic solutions in [Formula: see text] gravity within the context of a Friedmann–Lemaître–Robertson–Walker background space with nonzero spatial curvature. For the power-law theory [Formula: see text] we find that the field equations admit an exact solution with a linear scalar factor for negative and positive spatial curvature. That Milne-like solution is asymptotic behavior for the scale factor near the initial singularity for the model [Formula: see text]. The analytic solution for that specific theory is presented in terms of Painlevé series for [Formula: see text]. Moreover, from the value of the resonances of the Painlevé series we conclude that the Milne-like solution is always unstable while for large values of the independent parameter, the field equations provide an expanding universe with a de Sitter expansion of a positive cosmological constant. Finally, the presence of the cosmological term [Formula: see text] in the studied [Formula: see text] model plays no role in the general behavior of the cosmological solution and the universe immerge in a de Sitter expansion either when the cosmological constant term [Formula: see text] in the [Formula: see text] model vanishes.

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