Conformal Collineations of the Ricci and Energy–Momentum Tensors in Static Plane Symmetric Space–Times

Akhtar, Sumaira Saleem; Hussain, T.; Bokhari, Ashfaque H.; Khan, Fawad

doi:10.1134/s0040577918040116

Cited by 9 publications

(20 citation statements)

References 29 publications

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“…(The third case, to be considered in section 3, is an extension of the timedependent AdS black hole analyzed at the classical level in [38] and at the quantum level in [28] and [29]. )…”

Section: One-loop Stress-energy Tensormentioning

confidence: 99%

“…The influence of quantum effects on the geometry is quite natural [19] [21]. The way the boundary conditions figure into the mutual relations has just been recognized [28,29]. One of the focuses of the present work is the manner in which the quantum effects and boundary conditions feed the time-dependence of a solution.…”

Section: Introductionmentioning

confidence: 96%

“…A meaningful observation on the boundary conditions as a crucial component of the Hilbert space has recently been put forth in loop quantum gravity works [26] and [27]. Although the widely-used Dirichlet boundary conditions have been successful in non-gravitational areas, narrowing down to the configurations with these boundary conditions in a gravity theory results in wipe-out of much of the information as demonstrated in the recent works [19,22,28,29]. The surprising fact that the Dirichlet boundary condition is at odds with the information of the system seems quite sophisticated, and must be due to the fact that the physical states of a gravitational system happen to have their support at the boundary hypersurface, the holographic screen, which in turn has its origin in the large amount of the gauge symmetry of a gravitational system [30].…”

Section: Introductionmentioning

confidence: 99%

“…Then we consider another more complex stationary background; it is the recently constructed generalization of Schwarzschild-Melvin solution [37]. After recalling the findings in the previous works of [28], [29] and [21], we consider a time-dependent black hole spacetime in section 3. It is an extension of the time-dependent black hole solution previously obtained in [38].…”

Section: Introductionmentioning

confidence: 99%

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Quantum-induced trans-Planckian energy near horizon

Nurmagambetov

Park

2018

J. High Energ. Phys.

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We study the loop effects on the geometry and boundary conditions of several black hole spacetimes one of which is time-dependent and analyze the energy measured by an infalling observer near their horizons. The finding in the previous works that the loop effects can be drastic is reinforced: they play an important role in the boundary conditions and non-perturbative geometry deformation. One of the channels through which the quantum gravitational effects enter is generation of the cosmological constant. The cosmological constant feeds part of the time-dependence of a solution. We obtain a trans-Planckian energy in the time-dependent case. The importance of time-dependence for the trans-Planckian energy and black hole information is discussed.

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“…(The third case, to be considered in section 3, is an extension of the timedependent AdS black hole analyzed at the classical level in [38] and at the quantum level in [28] and [29]. )…”

Section: One-loop Stress-energy Tensormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum-induced trans-Planckian energy near horizon

Nurmagambetov

Park

2018

J. High Energ. Phys.

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“…There are several prominent indications of the relevance of the non-Dirichlet boundary conditions. For instance, it has recently been shown that quantum corrections are at odds with the Dirichlet boundary condition [66] [67]. Another indication comes from the recent development along the line of BMS symmetry [68] [69] where renewed attention has been given to large gauge transformations (LGTs).…”

Section: Boundary Conditions and Dynamicsmentioning

confidence: 99%

Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics

Park

2019

Universe

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The recently proposed Holography-inspired approach to quantum gravity is reviewed and expanded. The approach is based on the foliation of the background spacetime and reduction of the offshell states to the physical states. Careful attention is paid to the boundary conditions. It is noted that the outstanding problems such as the cosmological constant problem and black hole information can be tackled from the common thread of the quantized gravity. One-loop renormalization of the coupling constants and the beta function analysis are illustrated. Active galactic nuclei and gravitational waves are discussed as the potential applications of the present quantization scheme to astrophysics. 4 Although the present scheme of the "holographic quantization" may sound similar to the well-known idea of holographic renormalization [42], the two ideas are not directly related. While in the holographic renormalization one usually studies the renormalization of the composite operators of the boundary theory (assisted by the classical bulk theory), the focus of the present holographic quantization is the renormalizability and renormalization of the bulk theory.

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A study of Bianchi type I spacetime according to their Ricci collineations

Akhtar,

Ahmad,

Shakeel

et al. 2024

Opt Quant Electron

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Rici collineations (RCs) have been used in this research to study the locally rotationally symmetric (LRS) Bianchi type I spacetimes. To accomplish our objectives, the RC equations are typically integrated for both situations of the Ricci tensor, degenerate and non-degenerate. Throughout this work, a number of situations occur that provide various finite and infinite dimensional Lie algebras of RCs.

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Conformal Collineations of the Ricci and Energy–Momentum Tensors in Static Plane Symmetric Space–Times

Cited by 9 publications

References 29 publications

Quantum-induced trans-Planckian energy near horizon

Quantum-induced trans-Planckian energy near horizon

Foliation-Based Approach to Quantum Gravity and Applications to Astrophysics

A study of Bianchi type I spacetime according to their Ricci collineations

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