Gravity's rainbow

Magueijo, João; Smolin, Lee

doi:10.1088/0264-9381/21/7/001

Cited by 611 publications

(906 citation statements)

References 49 publications

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“…For instance, one can obtain the modified Schwarzschild solution for the gravity's rainbow following the steps explained in detail in Ref. [36]. This solution reproduces formally the familiar one for general relativity (with a suitable identification of coordinates) except for the commented scaling of the spatial metric and the diagonal time component.…”

Section: Doubly Special Relativity and Gravity's Rainbowmentioning

confidence: 90%

“…Our analysis provides a systematic elaboration of the arguments based on the Bekenstein bound for its application to DSR theories and gravity's rainbow formalisms, assuming the validity of these formalisms as extensions of DSR that incorporate the effect of curvature [36]. An important influence must be attributed to Refs.…”

Section: Discussionmentioning

confidence: 99%

“…In particular, instead of using coordinates of the Schwarzschild-type like in Ref. [36], one can describe the modified Schwarzschild solutions in any other set of coordinates (e.g. the generalization of the Eddington-Finkelstein or the Kruskal-Szekeres coordinates) without changing the conclusions.…”

Section: Discussionmentioning

confidence: 99%

“…In this paper, we will focus on the MS proposal of a gravity's rainbow [36] and on a variant of it based on a canonical implementation of DSR [37,38].…”

Section: Doubly Special Relativity and Gravity's Rainbowmentioning

confidence: 99%

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Entropy and temperature of black holes in a gravity’s rainbow

Galán

Marugán

2006

Phys. Rev. D

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The linear relation between the entropy and area of a black hole can be derived from the Heisenberg principle, the energy-momentum dispersion relation of special relativity, and general considerations about black holes. There exist results in quantum gravity and related contexts suggesting the modification of the usual dispersion relation and uncertainty principle. One of these contexts is the gravity's rainbow formalism. We analyze the consequences of such a modification for black hole thermodynamics from the perspective of two distinct rainbow realizations built from doubly special relativity. One is the proposal of Magueijo and Smolin and the other is based on a canonical implementation of doubly special relativity put forward recently by the authors. In these scenarios, we obtain modified expressions for the entropy and temperature of black holes. We show that, for a family of doubly special relativity theories satisfying certain properties, the temperature can vanish in the limit of zero black hole mass. For the Magueijo and Smolin proposal, this is only possible for some restricted class of models with bounded energy and unbounded momentum. With the proposal of a canonical implementation, on the other hand, the temperature may vanish for more general theories; in particular, the momentum may also be bounded, with bounded or unbounded energy. This opens new possibilities for the outcome of black hole evaporation in the framework of a gravity's rainbow.

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Section: Doubly Special Relativity and Gravity's Rainbowmentioning

confidence: 90%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

“…In this paper, we will focus on the MS proposal of a gravity's rainbow [36] and on a variant of it based on a canonical implementation of DSR [37,38].…”

Section: Doubly Special Relativity and Gravity's Rainbowmentioning

confidence: 99%

See 2 more Smart Citations

Entropy and temperature of black holes in a gravity’s rainbow

Galán

Marugán

2006

Phys. Rev. D

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“…The limitation of this approach lies in the fact that in general the improved metric may not be a solution of Einstein equation, but one can imagine that this is a sort of "Thomas-Fermi" approximation where only the leading quantum corrections are taken into account [30,31]. The improved g µν (k) metric represents then a sort of "emergent" spacetime description of the effective geometry [32][33][34] according to the scale dependence of the Newton constant.…”

Section: Pos(claqg08)008mentioning

confidence: 99%

Astrophysical implications of the Asymptotic Safety Scenario in Quantum Gravity

Bonanno¹

2011

Proceedings of Workshop on Continuum and Lattice Approaches to Quantum Gravity — PoS(CLAQG08)

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In recent years it has emerged that the high energy behavior of gravity could be governed by an ultraviolet non-Gaussian fixed point of the (dimensionless) Newton's constant, whose behavior at high energy is thus antiscreened. This phenomenon has several astrophysical implications. In particular in this article recent works on renormalization group improved cosmologies based upon a renormalization group trajectory of Quantum Einstein Gravity with realistic parameter values will be reviewed. It will be argued that quantum effects can account for the entire entropy of the present Universe in the massless sector and give rise to a phase of inflationary expansion. Moreover, the prediction for the final state of the black hole evaporation, is a Planck size remnant which is formed in an infinite time. Workshop on Continuum and Lattice Approaches to Quantum Gravity

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Doubly special relativity in de Sitter spacetime

Mignemi

2010

Annalen der Physik

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We discuss the generalization of Doubly Special Relativity to a curved de Sitter background. The model has\ud three fundamental observer-independent scales, the velocity of light c, the de Sitter radius α, and the Planck\ud energy κ, and can be realized through a nonlinear action of the de Sitter group on a noncommutative position\ud space. We consider different choices of coordinates on the de Sitter hyperboloid that, although equivalent,\ud may be more suitable for treating different problems.\ud Also the momentum space can be described as a hyperboloid embedded in a five-dimensional space, but\ud in this case different choices of coordinates lead to inequivalent models. We investigate the kinematics and\ud the Hamiltonian dynamics of some specific models and describe some of their phenomenological consequences.\ud Finally, we show that it is possible to construct a model exhibiting a duality for the interchange of positions and momenta together with the interchange of α and κ

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Gravity's rainbow

Cited by 611 publications

References 49 publications

Entropy and temperature of black holes in a gravity’s rainbow

Entropy and temperature of black holes in a gravity’s rainbow

Astrophysical implications of the Asymptotic Safety Scenario in Quantum Gravity

Doubly special relativity in de Sitter spacetime

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