Warped compactification to de Sitter space

Neupane, Ishwaree P.

doi:10.1016/j.nuclphysb.2011.02.006

Cited by 12 publications

(34 citation statements)

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“…Note that the case δ = 1 is special for which φ and hence U (φ) a In this case, as in the model without a scalar field Lagrangian, the 4D Newton finite, despite having a noncompact extra dimension. Similar results exist in a (supergravity) models with an arbitrary number n of extra dimensions [14,15].…”

Section: � �supporting

confidence: 80%

“…It is worth emphasizing that a canonical 5D theory considered above admits both an effective 4D Newton constant that remains finite and a normalizable graviton wave function. It is straightforward to extend the above discussions to 10 dimensions [14,15], or more specifically, to string theory, which includes generalizations of both standard quantum field theory and GR. The model discussed above is sufficiently simple; it is quite possible that the unified theory of everything requires a highly symmetric, or even a supersymmetric background, such as AdS5 × S5 -a product space of a 5-dimensional Anti de Sitter space and a five-sphere.…”

Section: � �mentioning

confidence: 99%

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The Dark Energy Problem: An Inspiration for New Physics

Neupane

2011

Himalayan Physics

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Cosmology is a young science -one which attempts to reconstruct and explain the entire history of the universe from nearly 14 billions of years ago [1]. This history must include an era of accelerated expansion, known as "inflation", which provides the most credible explanation to how causal physics in the early universe produced the large scale structures that we observe today. However, peering back so far in time is difficult and an added difficulty is that many of the theoretical pillars of physics upon which the models of inflation and gas physics at later times rest have only been proposed within the last 3 decades. That hasn't given both theoretical physicists and cosmologists much time to fully flesh out and comprehend the situation. The discovery that the expansion of the universe is accelerating is among the most significant of recent times.The current understanding is that this is probably due to the present-day universe being dominated by a cosmological constant or other fluid-like "dark energy". Several independent observations[2], including large redshift surveys [3,4], indicate that nearly 73% of the total energy density of the universe is in the form of dark energy and about 23% is in the form of non-baryonic cold dark matter particles which clump gravitationally, but which have never been directly detected. These scientific enigmas suggest we should look to new physics beyond Einstein's theory of General Relativity (GR) and the standard model of particle physics.There is no shortage of ideas for how to construct a model which is capable to produce a Robertson-Walker-type cosmology with de Sitter-type expansion. There is already a large gamut of gravitational theories that can explain a period of accelerated expansion of the universe with certain modification of Einstein's theory of general relativity [5,6]. The issue of a late epoch cosmic acceleration is not about the difficulty of finding a particular model which could mimic as the Lambda-CDM cosmology, described by Einstein gravity with a cosmological constant and minimally coupled to both the luminous (baryonic) and non-luminous (cold dark) matter.Rather, the challenge is to come up with a fully consistent theory in 4 dimensions that explains the origin of cosmic acceleration, while providing insights into some other major problems in physics, including the mass hierarchy and the cosmological constant problems. The smoothness of the cosmic microwave background (CMB)at the surface of last scattering (∼379, 000 years after the bigbang) detected by NASA's WMAP satellites is paradoxical to the lumpiness of distribution of matter in the present universe. Further, an estimate of gravitational vacuum energy density using quantum gravity approaches reveals that our universe would double in size in every 10 -43 sec. But observations seem to indicate that our universe has doubled in size in every 1010 yrs. This leads to another paradox, which is that Λobs ∼10 -120 Λ estimate , or that why gravity is so weak on cosmological scales. space-time dimensions...

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confidence: 99%

The Dark Energy Problem: An Inspiration for New Physics

Neupane

2011

Himalayan Physics

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“…However, when we consider an internal slicing that is not spherical,K = 1, we can get de Sitter curved worldvolumes. De Sitter branes have appeared earlier in [14] and [35]- [37] however the solutions in [35,36] are written in more complicated coordinates. Our approach makes clear that these solutions are not the most general, but should be seen as near-horizons.…”

Section: Discussionmentioning

confidence: 99%

Einstein branes

Chemissany

Janssen

Riet

2011

J. High Energ. Phys.

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We generalise the standard, flat p-brane solutions sourced by a dilaton and a form field, by taking the worldvolume to be a curved Einstein space, such as (anti-)de Sitter space. Our method is based on reducing the p-branes to domain walls and then allowing these domain walls to be curved. For de Sitter worldvolumes this extends some recently constructed warped de Sitter non-compactifications. We restrict our analysis to solutions that possess scaling behavior and demonstrate that these scaling solutions are near-horizon limits of a more general solution. Finally, our framework can equally be used for spacelike branes and the uplift of the domain wall/cosmology correspondence becomes in this context a more general timelike/spacelike brane correspondence.

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“…In many of these applications the solutions of the de Sitter spacetime with a warped compactification are evaluated at appropriate values of their parameters. At present several warped solutions which give the four-dimensional de Sitter spacetime have been reported recently in [3,6] where one of the internal dimensions is noncompact, but de Sitter compactification with a compact internal space has been explored much less extensively (see e.g., [1] for the arguments on general properties of the warped de Sitter compactification). The main purpose of the present work is to present an explicit example of such warped de Sitter compactification just as the starting point for the research in this direction, though the solution presented in this Letter still may not be suitable for the realistic cosmological models.Without relying on an infinite volume of extra dimensions, we can directly deduce a known construction of the de Sitter compactification in the framework of the higher-dimensional gravity theory.…”

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confidence: 99%

“…PACS numbers: 04.50.-h, 11.25.Mj We present exact solutions of warped de Sitter compactifications in the scalar-tensor theory coupled to the form field strength. We show that certain coupling constants and the warped structure [1][2][3][4][5][6] allow accelerating expansion of our Universe [7][8][9][10] in arbitrary dimensions. In the higher-dimensional gravity theory, timedependence of the hyperbolic compact internal space yields an accelerating universe in the four-dimensional Einstein frame without the warped structure [11].…”

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Warped de Sitter compactifications in the scalar–tensor theory

Minamitsuji¹,

Uzawa²

2012

Physics Letters B

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We present new solutions of warped compactifications in the higher-dimensional gravity coupled to the scalar and the form field strengths. These solutions are constructed in the D-dimensional spacetime with matter fields, with the internal space that has a finite volume. Our solutions give explicit examples where the cosmological constant or 0-form field strength leads to a de Sitter spacetime in arbitrary dimensions.PACS numbers: 11.25.Mj We present exact solutions of warped de Sitter compactifications in the scalar-tensor theory coupled to the form field strength. We show that certain coupling constants and the warped structure [1-6] allow accelerating expansion of our Universe [7-10] in arbitrary dimensions. In the higher-dimensional gravity theory, timedependence of the hyperbolic compact internal space yields an accelerating universe in the four-dimensional Einstein frame without the warped structure [11]. Then, more general accelerating solutions without warping in the context of higher-dimensional theory have been studied extensively in [11][12][13][14][15][16]. A (warped) compactification to de Sitter or accelerating universe has also been invoked as models not only in higher-dimensional gravity but also in supergravity and string theory [2,[17][18][19][20][21][22][23][24]. In many of these applications the solutions of the de Sitter spacetime with a warped compactification are evaluated at appropriate values of their parameters. At present several warped solutions which give the four-dimensional de Sitter spacetime have been reported recently in [3,6] where one of the internal dimensions is noncompact, but de Sitter compactification with a compact internal space has been explored much less extensively (see e.g., [1] for the arguments on general properties of the warped de Sitter compactification). The main purpose of the present work is to present an explicit example of such warped de Sitter compactification just as the starting point for the research in this direction, though the solution presented in this Letter still may not be suitable for the realistic cosmological models.Without relying on an infinite volume of extra dimensions, we can directly deduce a known construction of the de Sitter compactification in the framework of the higher-dimensional gravity theory. The strategy to find solutions basically follows one used in [6].We also assume the same metric ansatz in [6], except for the replacement of the noncompact direction with that of S 1 . As we will see, our relatively simple ansatz, however, will give us much information to reveal the essential properties of the warped de Sitter compactification.In the following, we construct the de Sitter compacti-fications in the D-dimensional theory. Our construction is analogous to a previous approach to warped compactifications [4,6]. The starting point of the construction is that the internal space can be expressed as a compact manifold. In the first model, we introduce the cosmological constant and matter fields such as the scalar and gauge fields...

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Warped compactification to de Sitter space

Cited by 12 publications

References 52 publications

The Dark Energy Problem: An Inspiration for New Physics

The Dark Energy Problem: An Inspiration for New Physics

Einstein branes

Warped de Sitter compactifications in the scalar–tensor theory

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