Einstein-Æther Theory

Eling, Christopher; Jacobson, Ted; Mattingly, David

doi:10.1142/9789812774804_0012

Cited by 129 publications

(230 citation statements)

References 26 publications

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“…These theories can be thought of as low energy effective field theory descriptions of local Lorentz violation (LV) possibly arising from quantum gravitational physics at energies near the Planck scale. In this paper we study one of these models, "Einstein-aether" theory (or "ae-theory" for short) [24], in which a dynamical unit timelike vector field u a is coupled to gravity. The LV here is a sort of spontaneous symmetry breaking.…”

Section: Introductionmentioning

confidence: 99%

Erratum: Neutron stars in Einstein-Aether theory [Phys. Rev. D76, 042003 (2007)]

Eling¹,

Jacobson²,

Miller³

2009

Phys. Rev. D

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As current and future experiments probe strong gravitational regimes around neutron stars and black holes, it is desirable to have theoretically sound alternatives to General Relativity against which to test observations. Here we study the consequences of one such generalization, Einstein-aether theory, for the properties of non-rotating neutron stars. This theory has a parameter range that satisfies all current weak-field tests. We find that within this range it leads to lower maximum neutron star masses, as well as larger surface redshifts at a particular mass, for a given nuclear equation of state. For non-rotating black holes and neutron stars, the innermost stable circular orbit is only slightly modified in this theory.

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Section: Introductionmentioning

confidence: 99%

Erratum: Neutron stars in Einstein-Aether theory [Phys. Rev. D76, 042003 (2007)]

Eling¹,

Jacobson²,

Miller³

2009

Phys. Rev. D

Self Cite

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“…The dual 1-forms θ A form a natural basis of the vector space of 1-forms Ω (1) (T M ). In turn the 6 By smooth we mean here metrics of at least C 2 regularity. This will be relaxed to piecewise C 1 when we look at braneworlds, allowing for distributional matter sources.…”

Section: Basic Definitions For Lovelock Theory-differential Form Langmentioning

confidence: 99%

Higher Order Gravity Theories and Their Black Hole Solutions

Charmousis

Physics of Black Holes

117

100

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In these lectures notes, we will discuss a particular higher order gravity theory, Lovelock theory, that generalises in higher dimensions than 4, general relativity. After briefly motivating modifications of gravity, we will introduce the theory in question and we will argue that it is a unique, mathematically sensible, and physically interesting extension of general relativity. We will see, by using the formalism of differential forms, the relation of Lovelock gravity to differential geometry and topology of even dimensional manifolds. We will then discuss a generic staticity theorem, quite similar to Birkhoff's theorem in general relativity, which will give us the charged static black hole solutions. We will examine their asymptotic behavior, analyse their horizon structure and briefly their thermodynamics. For the thermodynamics we will give a geometric justification of why the usual entropyarea relation is broken. We will then examine the distributional matching conditions for Lovelock theory. We will see how induced 4 dimensional Einstein-Hilbert terms result on the brane geometry from the higher order Lovelock terms. With the junction conditions at hand, we will go back to the black hole solutions and give applications for braneworlds: perturbations of codimension 1 braneworlds and the exact solution for braneworld cosmology as well as the determination of maximally symmetric codimension 2 braneworlds. In both cases, the staticity theorem evoked beforehand will give us the general solution for braneworld cosmology in codimension 1 and maximal symmetry warped branes of codimension 2. We will then end with a discussion of the simplest Kaluza-Klein reduction of Lovelock theory to a 4 dimensional vector-scalar-tensor theory which has the unique property of retaining second order field equations. We will comment briefly, the non-linear generalisation of Maxwell's theory and scalar-tensor theory. We will conclude by listing some open problems and common difficulties.

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“…In fact the fixed-point action will almost certainly not be the Einstein-Hilbert action but could instead be some general diffeomorphism invariant action with extra degrees of freedom affecting local Lorentz invariance (like for example the well studied Einstein-aether theory [27]). Furthermore, note that since the gravitons are massless, their propagation is not affected by (16).…”

Section: Modified Dispersion Relations From a "Running" Metricmentioning

confidence: 99%

Modified dispersion relations from the renormalization group of gravity

Girelli¹,

Liberati²,

Percacci³

et al. 2007

Class. Quantum Grav.

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We show that the running of gravitational couplings, together with a suitable identification of the renormalization group scale can give rise to modified dispersion relations for massive particles. This result seems to be compatible with both the frameworks of effective field theory with Lorentz invariance violation and deformed special relativity. The phenomenological consequences depend on which of the frameworks is assumed. We discuss the nature and strength of the available constraints for both cases and show that in the case of Lorentz invariance violation, the theory would be strongly constrained.

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Einstein-Æther Theory

Cited by 129 publications

References 26 publications

Erratum: Neutron stars in Einstein-Aether theory [Phys. Rev. D76, 042003 (2007)]

Erratum: Neutron stars in Einstein-Aether theory [Phys. Rev. D76, 042003 (2007)]

Higher Order Gravity Theories and Their Black Hole Solutions

Modified dispersion relations from the renormalization group of gravity

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