scholarly journals Quantum chaos in topologically massive gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yan Liu ◽  
Avinash Raju
Keyword(s):  
Shock Wave ◽  
Black Holes ◽  
High Temperature ◽  
Temperature Regime ◽  
Quantum Chaos ◽  
Massive Gravity ◽  
Partial Match ◽  
The Relationship ◽  
Chern Simons ◽  
Topologically Massive Gravity

Abstract We study quantum chaos of rotating BTZ black holes in Topologically Massive gravity (TMG). We discuss the relationship between chaos parameters including Lyapunov exponents and butterfly velocities from shock wave calculations of out-of-time-order correlators (OTOC) and from pole-skipping analysis. We find a partial match between pole-skipping and the OTOC results in the high temperature regime. We also find that the velocity bound puts a chaos constraint on the gravitational Chern-Simons coupling.

scholarly journals The black holes of topologically massive gravity

2003 ◽  
Vol 20 (24) ◽  
pp. L277-L283 ◽  
Author(s):  
Karim Ait Moussa ◽  
Gérard Clément ◽  
Cédric Leygnac
Keyword(s):  
Black Holes ◽  
Massive Gravity ◽  
Topologically Massive Gravity

scholarly journals Partially massless theory in three dimensions and self-dual massive gravity

2018 ◽  
Vol 33 (12) ◽  
pp. 1850067 ◽  
Author(s):  
Daniel Galviz ◽  
Adel Khoudeir
Keyword(s):  
Scalar Field ◽  
Physical System ◽  
Higher Dimensions ◽  
Massive Gravity ◽  
Degree Of Freedom ◽  
The Self ◽  
Three Dimensions ◽  
Massless Theory ◽  
Chern Simons ◽  
Topologically Massive Gravity

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on (A)dS background. This fact can be generalized to higher dimensions. This degree of freedom is altered when a triadic Chern–Simons is introduced, giving rise to the self-dual massive gravity on (A)dS background. We present another physical system with partially massless symmetry and its connection with topologically massive gravity is discussed.

scholarly journals ENTROPY OF EXTREMAL WARPED BLACK HOLES

2009 ◽  
Vol 24 (19) ◽  
pp. 1485-1493 ◽  
Author(s):  
YUN SOO MYUNG
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Cosmological Constant ◽  
Massive Gravity ◽  
Entropy Function ◽  
Function Approach ◽  
Negative Cosmological Constant ◽  
Topologically Massive Gravity ◽  
Cardy Formula

We study the entropy of extremal warped black hole obtained from the topologically massive gravity with a negative cosmological constant of Λ = -1/l2. We compare the entropy Se = πα/3G from the Wald formalism with Sw = πl u /3G from the entropy function approach. These are the same if α = l u. Also we obtain the same Cardy formula when Je = l3 q with Je the angular momentum and q the conserved quantity.

scholarly journals Chiral massive news: null boundary symmetries in topologically massive gravity

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
H. Adami ◽  
M.M. Sheikh-Jabbari ◽  
V. Taghiloo ◽  
H. Yavartanoo ◽  
C. Zwikel
Keyword(s):  
Central Charge ◽  
Three Dimensional ◽  
Virasoro Algebra ◽  
Symmetry Algebra ◽  
Massive Gravity ◽  
Surface Charges ◽  
Null Surface ◽  
Independent Functions ◽  
Chern Simons ◽  
Topologically Massive Gravity

Abstract We study surface charges on a generic null boundary in three dimensional topological massive gravity (TMG). We construct the solution phase space which involves four independent functions over the two dimensional null boundary. One of these functions corresponds to the massive chiral propagating graviton mode of TMG. The other three correspond to three surface charges of the theory, two of which can always be made integrable, while the last one can become integrable only in the absence of the chiral massive graviton flux through the null boundary. As the null boundary symmetry algebra we obtain Heisenberg ⊕ Virasoro algebra with a central charge proportional to the gravitational Chern-Simons term of TMG. We also discuss that the flux of the chiral massive gravitons appears as the (Bondi) news through the null surface.

scholarly journals HIGH SPIN TOPOLOGICALLY MASSIVE GRAVITY

2012 ◽  
Vol 10 ◽  
pp. 55-62
Author(s):  
BIN CHEN
Keyword(s):  
Critical Point ◽  
High Spin ◽  
Massive Gravity ◽  
Fluctuation Spectrum ◽  
Spin Fields ◽  
Chern Simons ◽  
Topologically Massive Gravity

We study the high spin fields coupled to topologically massive gravity in AdS3, paying special attention to the nature of the theory at the critical point. We propose an action incorporating the high spin AdS3 gravity and the topological Chern-Simons term for high spin fields. We discuss the fluctuation spectrum around the AdS3 vacuum and find that besides the usual massless modes there are local massive modes.

scholarly journals Chaos and pole-skipping in rotating black holes

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Mike Blake ◽  
Richard A. Davison
Keyword(s):  
Shock Wave ◽  
Black Holes ◽  
Quantum Chaos ◽  
Collective Mode ◽  
Small Deformation ◽  
Einstein Equations ◽  
Boundary Theory ◽  
Complex Frequency ◽  
Many Body ◽  
Energy Dynamics

Abstract We study the connection between many-body quantum chaos and energy dynamics for the holographic theory dual to the Kerr-AdS black hole. In particular, we determine a partial differential equation governing the angular profile of gravitational shock waves that are relevant for the computation of out-of-time ordered correlation functions (OTOCs). Further we show that this shock wave profile is directly related to the behaviour of energy fluctuations in the boundary theory. In particular, we demonstrate using the Teukolsky formalism that at complex frequency ω∗ = i2πT there exists an extra ingoing solution to the linearised Einstein equations whenever the angular profile of metric perturbations near the horizon satisfies this shock wave equation. As a result, for metric perturbations with such temporal and angular profiles we find that the energy density response of the boundary theory exhibit the signatures of “pole-skipping” — namely, it is undefined, but exhibits a collective mode upon a parametrically small deformation of the profile. Additionally, we provide an explicit computation of the OTOC in the equatorial plane for slowly rotating large black holes, and show that its form can be used to obtain constraints on the dispersion relations of collective modes in the dual CFT.

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