On Firewalls in quantum-corrected General Relativity

Abstract

We consider the information loss paradox at different angles, from the standard semi-classical approximation of General Relativity to the recently proposed scenarios of black holes evolution caused by effects of gravity quantization. Focusing on the Firewall proposal, we study the loop effects on the geometry and boundary conditions in black hole spacetimes and analyze the energy measured by an infalling observer near their horizons. As a result we obtain a trans-Planckian energy transition for the time-dependent black hole solution on the quantum-induced AdS background, the importance of which for the black hole (in)formation is discussed.

Scattering on Quasi-Spherical Black-Holes: Features and Beyond

“…Looking at Figure 4 with the results of numerics for the spherically symmetric (Schwarzschild) background (which reproduce in part data in Figures 2 and 8 of Ref. [43]), one may notice that: For the distorted BH background (15) with the metric potential (40), the deformation parameters of which are chosen to be b = 1 and a = 1 + α = 1 + 0.2, putting the data for the same type of waves on plots, we encounter important differences in compare to the previously considered cases (see Figure 5). We observe that:…”

“…Technically, we would like to extend the known Regge-Wheeler-Zerilli [70,71] equations for small d-wave perturbations over the background (15) and to solve them. First step on this way is to separate the variables in the corresponding relativistic spin equation.…”

“…one may separate the temporal, radial and angular parts of the gravitational perturbations over the basic metric (15). Upon the separation of the angular part of the d-wave pertur-bations, we arrive at the following master equation for the fundamental angular variable Θ(θ, ϕ): ∆ θ,ϕ Θ(θ, ϕ) + Ce χ(θ,ϕ) Θ(θ, ϕ) = 0, (24) in which, for the sake of convenience in further comparing to the spherically symmetric example, we set the separation constant to C = ν(ν + 1).…”

“…It is believed that supermassive BHs (SMBHs) are located in the core of the AGN [4,5], and mechanisms of the UHECRs generation are directly related to BH physics; see, e.g., Refs. [6][7][8][9][10][11][12][13][14][15][16][17][18][19], in this respect. • Next, it is worth mentioning achievements of the Event Horizon Telescope (EHT) collaboration in revealing the BH event horizon (for M87 SMBH with the mass 6.5 × 10 9 M [20]).…”

Quantization of Gravity and Finite Temperature Effects

“…Although quantum gravitational effects (reviews of various approaches to quantization of a matter-gravity system can be found, e.g., in [1][2][3][4][5]) are often set aside, it has become increasingly clear through a series of recent works [6][7][8][9][10][11][12][13][14][15][16][17][18][19] that they are crucial for solving some of the outstanding problems in theoretical and astro-theoretical physics. For instance, they have proven to be indispensable for precisely formulating (and potentially solving) the black hole information paradox [6][7][8]20].…”