The stringy origins of Galileons and their novel limit

Easson, Damien A.; Manton, Tucker; Parikh, Maulik; Svesko, Andrew

doi:10.1088/1475-7516/2021/05/031

Cited by 5 publications

(19 citation statements)

References 121 publications

(255 reference statements)

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“…Crucially, the ansatz (2.2), including the simplifying assumptions described above, was explicitly shown to allow for consistent dimensional reductions of EGB gravity in [35], such that all higher dimensional solutions to the pure EGB theory respecting the symmetries of the ansatz (2.2) will be solutions to the reduced theory, and, vice versa, all lower dimensional solutions can be oxidized to p + 1 + n dimensions, likewise respecting the symmetries of the solutions to the higher dimensional theory. Therefore, substituting the ansatz (2.2) into the action (2.1), one finds [35,36] (see Appendix A of [33] for further details)…”

Section: Galileons From Lovelock: Reviewmentioning

confidence: 99%

“…Building off of the observations made in [28], the authors of [33] considered the first α correction to the low-energy effective action of 10-dimensional heterotic string theory, which famously includes a Gauss-Bonnet term [23][24][25][26][27]:…”

Section: String Induced Galileonsmentioning

confidence: 99%

“…A consistent dimensional reduction of a pure higher derivative theory of gravity with second order equations of motion is guaranteed to yield a non-minimally coupled theory of gravity with second order field equations. 5 Combining these two observations -the Gauss-Bonnet term appears in string theory, and Horndeski gravity emerges from a consistent KK reduction of the Lovelock action -the authors of [33] demonstrated Galileons may have a string theoretic origin by dimensionally reducing the first α -corrected heterotic string action. In this article, we begin the first of multiple investigations into the types of spacetimes governed by the field equations of this string induced Horndeski model of [33], beginning with cosmological solutions.…”

mentioning

confidence: 95%

“…5 Combining these two observations -the Gauss-Bonnet term appears in string theory, and Horndeski gravity emerges from a consistent KK reduction of the Lovelock action -the authors of [33] demonstrated Galileons may have a string theoretic origin by dimensionally reducing the first α -corrected heterotic string action. In this article, we begin the first of multiple investigations into the types of spacetimes governed by the field equations of this string induced Horndeski model of [33], beginning with cosmological solutions. In particular we find exact solutions to the background equations of motion in an FLRW ansatz supported by the dilaton, which acts as the Horndeski scalar in arbitrary frames (add footnote).…”

mentioning

confidence: 95%

“…In Section 2 we briefly review how the generalized Galileons emerge from KK reduction of pure Einstein-Gauss-Bonnet gravity and then from an α -corrected effective string action. We point out additonal features the string induced Galileons exhibit (previously unstated in [33]), including a brief investigation into the symmetry properties of the tree-level action, as well as a discussion about the string coupling upon KK reduction. Section 3 considers an FLRW metric ansatz where we find exact solutions to the field equations in arbitrary frames.…”

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confidence: 98%

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Cosmic acceleration from string induced Galileons

Easson,

Manton,

Svesko

2021

Preprint

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It has been shown a specific Horndeski theory of gravity arises from a consistent Kaluza-Klein reduction of the gravi-dilaton sector of the low-energy effective heterotic string action with a first α correction. Here we provide a first investigation of the cosmological solutions to the lower dimensional theory by constructing exact solutions to the field equations in various frames. At tree level, in string frame, we find the duality symmetry of the parent theory is unaltered by dimensional reduction, leading to standard bouncing and pre-Big Bang scenario solutions. For α = 0, we uncover exact models exhibiting cosmic acceleration, where we find interesting physics concerning the number of noncompact dimensions. Certain stability requirements demand the inclusion of a dilaton potential.

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Section: Galileons From Lovelock: Reviewmentioning

confidence: 99%

Section: String Induced Galileonsmentioning

confidence: 99%

mentioning

confidence: 95%

mentioning

confidence: 95%

mentioning

confidence: 98%

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Cosmic acceleration from string induced Galileons

Easson,

Manton,

Svesko

2021

Preprint

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The 4D Einstein–Gauss–Bonnet theory of gravity: a review

Fernandes

Carrilho

Clifton

et al. 2022

Class. Quantum Grav.

117

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We review the topic of 4D Einstein-Gauss-Bonnet gravity, which has been the subject of considerable interest over the past two years. Our review begins with a general introduction to Lovelock’s theorem, and the subject of Gauss-Bonnet terms in the action for gravity. These areas are of fundamental importance for understanding modiﬁed theories of gravity, and inform our subsequent discussion of recent attempts to include the eﬀects of a Gauss-Bonnet term in four space-time dimensions by rescaling the appropriate coupling parameter. We discuss the mathematical complexities involved in implementing this idea, and review recent attempts at constructing well deﬁned, self-consistent theories that enact it. We then move on to consider the gravitational physics that results from these theories, in the context of black holes, cosmology, and weak-ﬁeld gravity. We show that 4D Einstein-Gauss-Bonnet gravity exhibits a number of interesting phenomena in each of these areas.

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D→4 Einstein-Gauss-Bonnet gravity and beyond

Easson

Manton

Svesko

2020

J. Cosmol. Astropart. Phys.

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A 'novel' pure theory of Einstein-Gauss-Bonnet gravity in four-spacetime dimensions can be constructed by rescaling the Gauss-Bonnet coupling constant, seemingly eluding Lovelock's theorem. Recently, however, the well-posedness of this model has been called into question. Here we apply a 'dimensional regularization' technique, first used by Mann and Ross to write down a D → 2 limit of general relativity, to the case of pure Einstein-Gauss-Bonnet gravity. The resulting four-dimensional action is a particular Horndeski theory of gravity matching the result found via a Kaluza-Klein reduction over a flat internal space. Some cosmological solutions of this four-dimensional theory are examined. We further adapt the technique to higher curvature Lovelock theories of gravity, as well as a low-energy effective string action with an α correction. With respect to the D → 4 limit of the α -corrected string action, we find we must also rescale the dilaton to have a non-singular action in four dimensions. Interestingly, when the conformal rescaling Φ is interpreted as another dilaton, the regularized string action appears to be a special case of a covariant multi-Galileon theory of gravity.

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The stringy origins of Galileons and their novel limit

Cited by 5 publications

References 121 publications

Cosmic acceleration from string induced Galileons

Cosmic acceleration from string induced Galileons

The 4D Einstein–Gauss–Bonnet theory of gravity: a review

D→4 Einstein-Gauss-Bonnet gravity and beyond

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