Shear-free dust solution in general covariant Hořava–Lifshitz gravity

Goldoni, O.; Silva, M. F. A. da; Chan, R.

doi:10.1007/s10714-015-2013-2

Cited by 3 publications

(4 citation statements)

References 55 publications

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“…The junction conditions across the surface of a collapsing star were derived under the (minimal) assumption that the junctions must be mathematically meaningful in terms of distribution theory. Lately, gravitational collapse in this setup was investigated and various solutions were constructed [141][142][143].…”

Section: B With Projectability and U(1) Symmetrymentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

176

194

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Hořava gravity at a Lifshitz point is a theory intended to quantize gravity by using techniques of traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been plaguing quantization of general relativity since the middle of 1970's, Hořava chose to break the Lorentz invariance by a Lifshitz-type of anisotropic scaling between space and time at the ultrahigh energy, while recovering (approximately) the invariance at low energies. With the stringent observational constraints and self-consistency, it turns out that this is not an easy task, and various modifications have been proposed, since the first incarnation of the theory in 2009. In this review, we shall provide a progress report on the recent developments of Hořava gravity. In particular, we first present four most-studied versions of Hořava gravity, by focusing first on their self-consistency and then their consistency with experiments, including the solar system tests and cosmological observations. Then, we provide a general review on the recent developments of the theory in three different but also related areas: (i) universal horizons, black holes and their thermodynamics; (ii) non-relativistic gauge/gravity duality; and (iii) quantization of the theory. The studies in these areas can be generalized to other gravitational theories with broken Lorentz invariance. CONTENTS

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Section: B With Projectability and U(1) Symmetrymentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

176

194

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“…Recent literature on gravitational collapse in HL theory has shown that very little effort has been made to understand the theory even classically [14]. Some of the previous works published by three of the authors have attempted to fill the gap [15] [16] [17]. The present paper is a continuation of our previous papers to understand the HL theory in the IR.…”

Section: Introductionmentioning

confidence: 79%

“…It should be noted that the techniques used here to find a solution, that is, separation of variables, was used before in our previous paper [17], working with timelike dust fluid. There, we found interesting results.…”

Section: Discussionmentioning

confidence: 99%

“…We have chosen a null dust fluid because it is the simplest null fluid that we can have. Besides, we would like to compare the results with our previous work [17] with non-null dust fluid. Our original proposal was to use the most general metric without any hypothesis to simplify the equations, but we found that these equations cannot be solved analytically.…”

Section: Introductionmentioning

confidence: 91%

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A Dynamical Solution in Horava-Lifshitz Gravity in the IR limit

Goldoni,

da Silva,

Chan

et al. 2016

Preprint

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Non-stationary null dust in a spherically symmetric spacetime is studied in the context of a general-covariant Hořava-Lifshitz theory. The non-minimal coupling to matter is considered in the infrared limit. The aim of this paper is to study whether the collapse of a null dust-like fluid can be a solution of Hořava-Lifshitz theory in the infrared limit. We have shown that the unique possible solution is static. This solution represents a Minkowski spacetime since the energy density is null.

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Barboza–Alcaniz equation of state parametrization: Constraining the parameters in different gravity theories

Biswas

2019

Mod. Phys. Lett. A

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To justify the 20-year old distant Ia Supernova observations which revealed to us that our universe is experiencing a late-time cosmic acceleration, propositions of existence of exotic fluids inside our universe are made. These fluids are assumed to occupy homogeneously the whole space of the universe and to exert negative pressure from inside such that the late-time accelerated expansion is caused. Among the different suggested models of such exotic matters/energy popularly coined as dark matter/dark energy (DE), a well-known and popular process is “introduction of redshift parametrization” of the equation of state (EoS) parameter of these fluids. We, very particularly, take the parametrization proposed by Barboza and Alcaniz (BA) along with the cosmological constant. We use 39 data points for Hubble’s parameter calculated for different redshifts and try to constrain the DE EoS parameters for BA modeling. We then constrain the DE parametrization parameters in the background of Einstein’s general relativity, loop quantum gravity and Horava–Lifshitz gravity one after another. We find the [Formula: see text], [Formula: see text] and [Formula: see text] confidence contours for all these cases and compare them with each other. We try to speculate which gravity is constraining the parameters most and which one is letting the parameters to stay within a larger domain. We tally our results of 557 points Union2 Sample and again compare them for different gravity theories.

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Shear-free dust solution in general covariant Hořava–Lifshitz gravity

Cited by 3 publications

References 55 publications

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity at a Lifshitz point: A progress report

A Dynamical Solution in Horava-Lifshitz Gravity in the IR limit

Barboza–Alcaniz equation of state parametrization: Constraining the parameters in different gravity theories

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