BLACK HOLE/MOVING MIRROR CORRESPONDENCE IN (1+1)-DIMENSIONS

The Hawking effect predicts that black holes can emit particles and energy when quantum mechanical effects are taken into account in quantum atmosphere around the black hole. However, certain models of black holes emit infinite energy and infinite particles that are contradictory to both classical and quantum theories' laws. These and other black hole evaporation problems along with the need to get experimental verification have underscored the need for analog and toy models that can solve the issues without losing the essential physical properties of the black hole radiation processes. The significance of studying moving mirrors is that they are accelerated boundaries that create energy, particles, and entropy similar to black holes. In fact, moving mirrors, which are simplified (1+1)-dimensional versions of the dynamical Casimir effect, act as toy models for black hole evaporation, in some cases, with an exact correspondence to the amount of particle production. Moreover, the dynamical Casimir effect has been measured in the laboratory within the framework of moving mirror model providing experimental observations and insight into the effect, whereas Hawking radiation from black holes effectively can not be measured because the effect is too small. The general and physically relevant connections of moving mirrors to black hole physics is a prime focus of this thesis. Here black holes and some cosmological models are approximated by (1+1)-dimensional moving mirrors. The detailed and complete investigation of all existing moving mirror models, their classifications and specific characters are the main objectives. This extensive study allows one to distinguish the moving mirror solutions that most physically describe black hole evaporation. They have proven capability to solve specific issues related to Hawking radiation. A new model related to the Schwarzschild black hole that solves the issue of finite energy with respect to Hawking radiation is developed. Also, it is established that Callan-Giddings-Harvey-Strominger (CGHS) black hole model has a correspondence to the exponentially accelerated moving mirror in coordinate time for the particle production. In addition, the mirror radiation power and radiation reaction force, that have recently been derived, have been applied to the specific moving mirror model of the CGHS correspondence. As a result, it is shown that Larmor power and self-force for the mirror describe quantum radiation. Furthermore, two distinct methods of deriving the stress tensor for the quantum radiation of the moving mirror are analyzed and a comparison analysis is made. Finally, while extensively studying all the known moving mirror solutions and trying to compile collective results, some new results have been found, including some trajectories in null and spacetime coordinates, particle count for the mirrors that have finite particle production, fluxes for some mirrors in certain coordinates that have interesting physical effect, and etc. All existing moving mirror solutions are studied by classification into several types based on their dynamics. Then, each mirror is extensively reviewed from four perspectives: dynamics, flux & energy, particles, and entropy. These methodologies enable one to obtain a complete set of solutions, understand their behavior, and unveil particular implications and physical features of the moving mirror model as a whole

A Holographic Bound for D3-Brane

In this paper, we will regularize the holographic entanglement entropy, holographic complexity and fidelity susceptibility for a configuration of D3-branes. We will also study the regularization of the holographic complexity from action for a configuration of D3-branes. It will be demonstrated that for a spherical shell of D3-branes the regularized holographic complexity is always greater than or equal to than the regularized fidelity susceptibility. Furthermore, we will also demonstrate that the regularized holographic complexity is related to the regularized holographic entanglement entropy for this system. Thus, we will obtain a holographic bound involving regularized holographic complexity, regularized holographic entanglement entropy and regularized fidelity susceptibility of a configuration of D3-brane. We will also discuss a bound for regularized holographic complexity from action, for a D3-brane configuration.Comment: Accepted in EPJ

Giant Tortoise Coordinate

The giant tortoise coordinate is a moving mirror inspired generalization of the Regge-Wheeler counterpart that demonstrates a unitary evaporating black hole emitting a total finite energy.Comment: 10 pages, 1 figur

Relativistic quantum information as radiation reaction: entanglement entropy and self-force of a moving mirror analog to the CGHS black hole

The CGHS black hole has a spectrum and temperature that corresponds to an accelerated reflecting boundary condition in flat spacetime. The beta coefficients are identical to a moving mirror model where the acceleration is exponential in laboratory time. The center and the event horizon of the black hole are at the same location modeled by the perfectly reflecting regularity condition that red-shifts the field modes. In addition to computing the energy flux, we find the corresponding parameter associated with the black hole mass and the cosmological constant in the gravitational analog system. Generalized to any mirror trajectory we derive the self-force (Lorentz-Abraham-Dirac) and express it and the power (Larmor) in connection with entanglement entropy, inviting an interpretation of acceleration radiation in terms of information flow. The mirror self-force and radiative power are applied to the particular CGHS black hole analog moving mirror which reveals the physics of information at the horizon during asymptotic approach to thermal equilibrium.Comment: 13 pages, 5 figures, 1 tabl

Teleparallelism by inhomogeneous dark fluid

In this paper, we investigate f (T) cosmology and find an exact solution for f which gives a Little Rip cosmology. Also, considering accelerating cosmology with dark matter, the time-dependent solution is found. For these cases, by using solutions obtained from f (T) gravity we find expressions for. and. defined as time functions via equivalent description in terms of inhomogeneous fluid. This puts the question: which theoretical model describes the observational cosmology

Fidelity susceptibility for Lifshitz geometries via Lifshitz holography

In order to analyze the fidelity susceptibility of nonrelativistic field theories, which are important in condensed matter systems, we generalize the proposal to obtain the fidelity susceptibility holographically to Lifshitz geometries. It will be argued that this proposal can be used to study the fidelity susceptibility for various condensed matter systems. To demonstrate this, we will explicitly use this proposal to analyze the fidelity susceptibility for a nonrelativistic many-body system and argue that the fidelity susceptibility of this theory can be holographically obtained from a bulk Lifshitz geometry. In fact, using an Einstein-Dilaton–Maxwell–AdS–Lifshitz theory, we explicitly demonstrated that the fidelity susceptibility obtained from this bulk geometry is equal to the fidelity susceptibility of a bosonic many-body system. </jats:p

CGHS Black Hole Analog Moving Mirror and Its Relativistic Quantum Information as Radiation Reaction

The Callan–Giddings–Harvey–Strominger black hole has a spectrum and temperature that correspond to an accelerated reflecting boundary condition in flat spacetime. The beta coefficients are identical to a moving mirror model, where the acceleration is exponential in laboratory time. The center of the black hole is modeled by the perfectly reflecting regularity condition that red-shifts the field modes, which is the source of the particle creation. In addition to computing the energy flux, we find the corresponding moving mirror parameter associated with the black hole mass and the cosmological constant in the gravitational analog system. Generalized to any mirror trajectory, we derive the self-force (Lorentz–Abraham–Dirac), consistently, expressing it and the Larmor power in connection with entanglement entropy, inviting an interpretation of acceleration radiation in terms of information flow. The mirror self-force and radiative power are applied to the particular CGHS black hole analog moving mirror, which reveals the physics of information at the horizon during asymptotic approach to thermal equilibrium.</jats:p