Introduction to Black Hole Physics

Frolov, Valeri P.; Zelnikov, Andrei

doi:10.1093/acprof:oso/9780199692293.001.0001

Cited by 266 publications

(291 citation statements)

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“…Our regularization scheme yields a self-force that does not depend on any undetermined length-scale such as an infra-red cutoff, unlike the calculation of Ref. [15], nor does it depend on some particular model for the point particle, contrary to the result of Ref. [14].…”

Section: Introductionmentioning

confidence: 93%

“…Moreover, there is as yet no known general prescription or expression for self-forces in higher dimensions. Despite the lack of formal underpinning, there has been considerable recent interest in the self-force in higher dimensions [14][15][16][17] yielding some very unexpected results in odd dimensions. In particular, Beach, Poisson and Nickel [14] calculated the selfforce on a static scalar and electric charge in a 5D black hole spacetime and found that the result depended on the radius of a sphere centered at the charge, which they interpret as the radius of the particle.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, Beach, Poisson and Nickel [14] calculated the selfforce on a static scalar and electric charge in a 5D black hole spacetime and found that the result depended on the radius of a sphere centered at the charge, which they interpret as the radius of the particle. Moreover, Frolov and Zelnikov [15] calculated the self-force on a uniformly accelerating charge in Minkowski spacetime (or equivalently a static charge in Rindler spacetime) and their result depends on an undetermined infra-red cutoff lengthscale which the authors postulate could be the scale over which the homogeneous gravitational field approximation is valid.…”

Section: Introductionmentioning

confidence: 99%

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Static self-forces in a five-dimensional black hole spacetime

Taylor

Flanagan

2015

Phys. Rev. D

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We obtain the electric field and scalar field for a static point charge in closed form in the 5D Schwarzschild-Tangherlini black hole spacetime. We then compute the static self-force in each of these cases by assuming that the appropriate singular field is a 4D Hadamard Green's function on the constant time Riemannian slice. It is well known that the Hadamard representation of a Green's function involves an arbitrary regular biscalar W0(x, x ), whose coincidence limit w(x) appears in the expression for the self-force. We develop an axiomatic approach to reduce this arbitrary function to a single arbitrary dimensionless coefficient. We show that in the context of this approach to regularization, the self-force does not depend on any undetermined length-scale and need not depend on the internal structure of the charge.

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Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Static self-forces in a five-dimensional black hole spacetime

Taylor

Flanagan

2015

Phys. Rev. D

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“…Note that in a 2-dimensional space (see, e.g., [10]) R abcd = 1 2 (g ac g bd − g ad g bc )R , R ab = 1 2 g ab R .…”

Section: Appendix A: Covariant Expansions Of the Bitensor Quantitiesmentioning

confidence: 99%

“…In the present paper we use the system of units where G = c = 1 and the sign conventions for the metric and other geometrical quantities adopted in the books [9,10].…”

Section: Introductionmentioning

confidence: 99%

Self-energy anomaly of an electric pointlike dipole in three-dimensional static spacetimes

2013

Self Cite

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We calculate the self-energy anomaly of a pointlike electric dipole located in a static (2 + 1)-dimensional curved spacetime. The energy functional for this problem is invariant under an infinitedimensional (gauge) group of transformations parameterized by one scalar function of two variables. We demonstrate that the problem of the calculation of the self-energy anomaly for a pointlike dipole can be reduced to the calculation of quantum fluctuations of an effective two-dimensional Euclidean quantum field theory. We reduced the problem in question to the calculation of the conformal anomaly of an effective scalar field in two dimensions and obtained an explicit expression for the self-energy anomaly of an electric dipole in an asymptotically flat, regular (2+1)-dimensional spacetime which may have electrically neutral black-hole-like metrics with regular Killing horizon.

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Charged Black‐Hole‐Like Electronic Structure Driven by Geometric Potential of 2D Semiconductors

Shin,

Park,

Kong

et al. 2024

Advanced Materials

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One of the exotic expectations in the 2D curved spacetime is the geometric potential from the curvature of the 2D space, still possessing unsolved fundamental questions through Dirac quantization. The atomically thin 2D materials are promising for the realization of the geometric potential, but the geometric potential in 2D materials is not identified experimentally. Here, the curvature‐induced ring‐patterned bound states are observed in structurally deformed 2D semiconductors and formulated the modified geometric potential for the curvature effect, which demonstrates the ring‐shape bound states with angular momentum. The formulated modified geometric potential is analogous to the effective potential of a rotating charged black hole. Density functional theory and tight‐binding calculations are performed, which quantitatively agree well with the results of the modified geometric potential. The modified geometric potential is described by modified Gaussian and mean curvatures, corresponding to the curvature‐induced changes in spin‐orbit interaction and band gap, respectively. Even for complex structural deformation, the geometric potential solves the complexity, which aligns well with experimental results. The understanding of the modified geometric potential provides us with an intuitive clue for quantum transport and a key factor for new quantum applications such as valleytronics, spintronics, and straintronics in 2D semiconductors.

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Introduction to Black Hole Physics

Cited by 266 publications

References 0 publications

Static self-forces in a five-dimensional black hole spacetime

Static self-forces in a five-dimensional black hole spacetime

Self-energy anomaly of an electric pointlike dipole in three-dimensional static spacetimes

Charged Black‐Hole‐Like Electronic Structure Driven by Geometric Potential of 2D Semiconductors

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