Vaidya solution in general covariant Hořava–Lifshitz gravity with the minimum coupling and without projectability: Infrared limit

Goldoni, O.; Silva, M. F. A. da; Chan, R.; Pinheiro, Geraldo da Rocha Castelar

doi:10.1142/s0218271815500212

Cited by 3 publications

(2 citation statements)

References 30 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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“…In another recent paper, Goldoni et al (2015) [43], using again Lin at al. (2014) [41] approach, have also shown that there is not an analogy of the Vaidya's solution in Hořava-Lifshitz Theory (HLT) with the minimally coupling and without projectability, again as we know in GRT.…”

Section: Introductionmentioning

confidence: 99%

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

2016

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In this paper, we have studied non stationary dust spherically symmetric spacetime, in general covariant theory (U (1) extension) of the Hořava-Lifshitz gravity with the minimally coupling and non-minimum coupling with matter, in the post-newtonian approximation (PPN) in the infrared limit. The Newtonian prepotential ϕ was assumed null. The aim of this work is to know if we can have the same spacetime, as we know in the General Relativity Theory (GRT), in Hořava-Lifshitz Theory (HLT) in this limit. We have shown that there is not an analogy of the dust solution in HLT with the minimally coupling, as in GRT. Using non-minimum coupling with matter, we have shown that the solution admits a process of gravitational collapse, leaving a singularity at the end. This solution has, qualitatively, the same temporal behaviour as the dust collapse in GRT. However, we have also found a second possible solution, representing a bounce behavior that is not found in GRT.

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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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Vaidya solution in general covariant Hořava–Lifshitz gravity with the minimum coupling and without projectability: Infrared limit

Cited by 3 publications

References 30 publications

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity at a Lifshitz point: A progress report

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

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

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