Momentum/Complexity duality and the black hole interior

We calculate modifications to the Schwarzschild solution by using a semiclassical analysis of loop quantum black hole. We obtain a metric inside the event horizon that coincides with the Schwarzschild solution near the horizon but that is substantially different at the Planck scale. In particular, we obtain a bounce of theS2sphere for a minimum value of the radius and that it is possible to have another event horizon close to ther=0point.

Download Full-text

THE MILNE SPACETIME AND THE HADRONIC RINDLER HORIZON

International Journal of Modern Physics D ◽

10.1142/s0218271810017482 ◽

2010 ◽

Vol 19 (08n10) ◽

pp. 1379-1384 ◽

Cited By ~ 2

Author(s):

H. CULETU

Keyword(s):

Black Hole ◽

Event Horizon ◽

Time Dependent ◽

Anisotropic Fluid ◽

Direct Relation ◽

Schwarzschild Black Hole ◽

Black Hole Interior ◽

Flat Metric ◽

Shear Tensor ◽

Hadronic Rindler Horizon

A direct relation between the time-dependent Milne geometry and the Rindler spacetime is shown. Milne's metric corresponds to the region beyond Rindler's event horizon (in the wedge t ≻ |x|). We point out that inside a Schwarzschild black hole and near its horizon, the metric may be Milne's flat metric. It was found that the shear tensor associated to a congruence of fluid particles of the RHIC expanding fireball has the same structure as that corresponding to the anisotropic fluid from the black hole interior, even though the latter geometry is curved.

Download Full-text

Basis function method for numerical loop quantum cosmology: the Schwarzschild black hole interior

Classical and Quantum Gravity ◽

10.1088/1361-6382/ab514c ◽

2019 ◽

Vol 36 (23) ◽

pp. 234003

Author(s):

Alec Yonika ◽

Gaurav Khanna

Keyword(s):

Black Hole ◽

Basis Function ◽

Quantum Cosmology ◽

Function Method ◽

Loop Quantum Cosmology ◽

Schwarzschild Black Hole ◽

Black Hole Interior

Download Full-text

Quantum state of the black hole interior

Journal of High Energy Physics ◽

10.1007/jhep08(2015)082 ◽

2015 ◽

Vol 2015 (8) ◽

Cited By ~ 10

Author(s):

Ram Brustein ◽

A. J. M. Medved

Keyword(s):

Black Hole ◽

Quantum State ◽

Black Hole Interior

Download Full-text

Kantowski-Sachs Cosmology, Weyl Geometry and Asymptotic Safety in Quantum Gravity

Canadian Journal of Physics ◽

10.1139/cjp-2020-0348 ◽

2020 ◽

Author(s):

Carlos Castro Perelman

Keyword(s):

Black Hole ◽

Planck Scale ◽

Dilaton Gravity ◽

De Sitter ◽

Schwarzschild Black Hole ◽

Exterior Region ◽

Asymptotic Safety ◽

Sign Change ◽

Average Action ◽

Black Hole Interior

A brief review of the essentials of Asymptotic Safety and the Renormalization Group (RG) improvement of the Schwarzschild Black Hole that removes the r = 0 singularity is presented. It is followed with a RG-improvement of the Kantowski-Sachs metric associated with a Schwarzschild black hole interior and such that there is no singularity at t = 0 due to the running Newtonian coupling G(t) (vanishing at t = 0). Two temporal horizons at t _- \simeq t_P and t_+ \simeq t_H are found. For times below the Planck scale t < t_P, and above the Hubble time t > t_H, the components of the Kantowski-Sachs metric exhibit a key sign change, so the roles of the spatial z and temporal t coordinates are exchanged, and one recovers a repulsive inflationary de Sitter-like core around z = 0, and a Schwarzschild-like metric in the exterior region z > R_H = 2G_o M. The inclusion of a running cosmological constant \Lambda (t) follows. We proceed with the study of a dilaton-gravity (scalar-tensor theory) system within the context of Weyl's geometry that permits to single out the expression for the classical potential V (\phi ) = \kappa\phi^4, instead of being introduced by hand, and find a family of metric solutions which are conformally equivalent to the (Anti) de Sitter metric. To conclude, an ansatz for the truncated effective average action of ordinary dilaton-gravity in Riemannian geometry is introduced, and a RG-improved Cosmology based on the Friedmann-Lemaitre-Robertson-Walker (FLRW) metric is explored.

Download Full-text

Matter Accretion Versus Semiclassical Bounce in Schwarzschild Interior

Universe ◽

10.3390/universe6100178 ◽

2020 ◽

Vol 6 (10) ◽

pp. 178

Author(s):

Kirill Bronnikov ◽

Sergey Bolokhov ◽

Milena Skvortsova

Keyword(s):

Black Hole ◽

Vacuum Polarization ◽

Particle Production ◽

Energy Tensor ◽

Stress Energy Tensor ◽

Schwarzschild Black Hole ◽

White Hole ◽

Stress Energy ◽

Black Hole Interior ◽

Nontrivial Topology

We discuss the properties of the previously constructed model of a Schwarzschild black hole interior where the singularity is replaced by a regular bounce, ultimately leading to a white hole. We assume that the black hole is young enough so that the Hawking radiation may be neglected. The model is semiclassical in nature and uses as a source of gravity the effective stress-energy tensor (SET) corresponding to vacuum polarization of quantum fields, and the minimum spherical radius is a few orders of magnitude larger than the Planck length, so that the effects of quantum gravity should still be negligible. We estimate the other quantum contributions to the effective SET, caused by a nontrivial topology of spatial sections and particle production from vacuum due to a nonstationary gravitational field and show that these contributions are negligibly small as compared to the SET due to vacuum polarization. The same is shown for such classical phenomena as accretion of different kinds of matter to the black hole and its further motion to the would-be singularity. Thus, in a clear sense, our model of a semiclassical bounce instead of a Schwarzschild singularity is stable under both quantum and classical perturbations.

Download Full-text