Generalized Painlevé–Gullstrand metrics

Lin, Chun Yu; Soo, Chopin

doi:10.1016/j.physletb.2008.12.051

Cited by 23 publications

(43 citation statements)

References 13 publications

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“…These 'non-GR' terms are automatically absent in homogeneous FLRW cosmology, and also in constant curvature slicings of Painlevé-Gullstrand solutions of black holes [13]. Consequently, except for Cotton-York preponderance at very early times[19], Einstein's GR dominates at low curvatures and long wavelengths in a theory in which 'four-dimensional symmetry is not a fundamental property of the physical world' [2].…”

Section: Early Universe and Cotton-york Dominancementioning

confidence: 99%

Quantum Geometrodynamics with Intrinsic Time Development

Soo

2017

Everything About Gravity

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Quantum geometrodynamics with intrinsic time development is presented. Paradigm shift from full space-time covariance to spatial diffeomorphism invariance yields a non-vanishing Hamiltonian, a resolution of the 'problem of time', and gauge-invariant temporal ordering in an ever expanding universe. Einstein's general relativity is a particular realization of a wider class of theories; and the framework prompts natural extensions and improvements, with the consequent dominance of Cotton-York potential at early times when the universe was small.

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Section: Early Universe and Cotton-york Dominancementioning

confidence: 99%

Quantum Geometrodynamics with Intrinsic Time Development

Soo

2017

Everything About Gravity

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“…Now, one has to provide a shift t f → t. Then, choosing the flat background again in the form (26), and making the use of the decomposition (21) the field configuration corresponding to (45) becomes…”

Section: Generic Gauge Fixingmentioning

confidence: 99%

“…The requirement (iv). Deriving the light cone expressions from ds 2 = 0 for the quite complicated form of the metric (45), one surprisingly obtains the simple formulae. Thus for the ingoing light ray one has…”

Section: Generic Gauge Fixingmentioning

confidence: 99%

“…Its main property is that each of sections defined as ct p = const presents a flat Euclidean space. Last time the interest to these coordinates arises; many authors, basing on this property, generalize the PG coordinates for more complicated black holes than the Schwarzschild one, see, for example, [41,45,46] and reference there in.…”

Section: A Continuous Gravitational Collapse In the Painlevé-gullstramentioning

confidence: 99%

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A point mass and continuous collapse to a point mass in general relativity

Петров

2017

Gen Relativ Gravit

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An original way of presentation of the Schwarzschild black hole in the form of a point-like mass with making the use of the Dirac δ-function, including a description of a continuous collapse to such a point mass, is given. A maximally generalized description restricted by physically reasonable requirements is developed. A so-called field-theoretical formulation of general relativity, being equivalent to the standard geometrical presentation of general relativity, is used. All of the dynamical fields, including the gravitational field, are considered as propagating in a background (curved or flat) spacetime. Namely these properties allow us to present a non-contradictive picture of the point mass description. The results can be useful for studying the structure of the black hole true singularities and could be developed for practical calculations in models with black holes.

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“…In general, for a spherically symmetric space-time (SSST), the existence of flat synchronizations is usually taken for granted but, recently, an obstruction to it has been pointed out [7]. However, as far as the authors are aware, a definitive interpretation of this obstruction as well as the analysis of the domains where a flat synchronization exists have not been done up to now.…”

Section: Introductionmentioning

confidence: 99%

Flat synchronizations in spherically symmetric space-times

Herrero¹,

Morales-Lladosa

2010

J. Phys.: Conf. Ser.

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Abstract. It is well known that the Schwarzschild space-time admits a spacelike slicing by flat instants and that the metric is regular at the horizon in the associated adapted coordinates (Painlevé-Gullstrand metric form). We consider this type of flat slicings in an arbitrary spherically symmetric space-time. The condition ensuring its existence is analyzed, and then, we prove that, for any spherically symmetric flat slicing, the densities of the Weinberg momenta vanish. Finally, we deduce the Schwarzschild solution in the extended Painlevé-GullstrandLemaître metric form by considering the coordinate decomposition of the vacuum Einstein equations with respect to a flat spacelike slicing.

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Generalized Painlevé–Gullstrand metrics

Cited by 23 publications

References 13 publications

Quantum Geometrodynamics with Intrinsic Time Development

Quantum Geometrodynamics with Intrinsic Time Development

A point mass and continuous collapse to a point mass in general relativity

Flat synchronizations in spherically symmetric space-times

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