Physics in Higher Dimensions Volume 2

Piran, Tsvi; Weinberg, Shelley

doi:10.1142/9789814542272

Cited by 9 publications

(11 citation statements)

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“…To explore the hidden knowledge of universe many researchers [37,38,39,40] encouraged to come into the field of higher dimensional theory. Weinberg [41] studied the unification of fundamental forces with gravity which reveals that the space-time should be different from four dimensions. Ladke, L. S. et.…”

Section: Introductionmentioning

confidence: 99%

Five Dimensional Cylindrically Symmetric Solutions and Energy Distribution in f(R) Gravity

S¹,

D²,

V.P³

2018

IJMTT

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This paper is devoted to study of five dimensional cylindrically symmetric solutions in f(R) theory of gravity using perfect fluid as matter and discussed energy distribution of these solutions by applying Landau-Lifshitz energy momentum complex. To find the solution, the assumption of constant scalar curvature is used. Also stability and constant scalar curvature condition is explored for viable f(R) models. These models satisfy above mentioned conditions.

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Section: Introductionmentioning

confidence: 99%

Five Dimensional Cylindrically Symmetric Solutions and Energy Distribution in f(R) Gravity

S¹,

D²,

V.P³

2018

IJMTT

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“…Interest has also been stimulated by a hypothesis about the central engine of γ-ray bursts (GRBs) [3]. Recently, some of GRBs have been found to be of cosmological origin [4].…”

Section: Introductionmentioning

confidence: 99%

“…In cosmological GRBs, the central sources must supply a large amount of the energy ≥ 10 50 ergs in a very short timescale of order from a millisecond to a second. It has been suggested that the merger of binary neutron stars is a likely candidate for the powerful central source [3]. In the typical hypothetical scenario, the final product should be a system composed of a rotating black hole surrounded by a massive disk of mass > 0.1M ⊙ , which could supply a large amount of energy by neutrino processes or by extracting the rotational energy of the black hole [3].…”

Section: Introductionmentioning

confidence: 99%

Binary neutron star mergers in fully general relativistic simulations

Shibata¹,

Uryū²

2001

AIP Conference Proceedings

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Abstract. We perform 3D numerical simulations for merger of equal mass binary neutron stars in full general relativity preparing irrotational binary neutron stars in a quasiequilibrium state as initial conditions. Simulations have been carried out for a wide range of stiffness of equations of state and compactness of neutron stars, paying particular attention to the final products and gravitational waves. We take a fixed uniform grid in Cartesian coordinates with typical grid size (293, 293, 147) in (x, y, z) assuming a plane symmetry with respect to the equatorial plane. A result of one new large-scale simulation performed with grid size (505, 505, 253) is also presented.We find that the final product depends sensitively on the initial compactness of the neutron stars: In a merger between sufficiently compact neutron stars, a black hole is formed in a dynamical timescale. As the compactness is decreased, the formation timescale becomes longer and longer. For less compact cases, a differentially rotating massive neutron star is formed instead of a black hole. In the case of black hole formation, the disk mass around the black hole appears to be smaller than 1% of the total rest mass. It is also indicated that waveforms of high-frequency gravitational waves after merger depend strongly on the compactness of neutron stars.

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“…On the other hand, since multidimensional models are presently believed to be the natural framework to unify all fundamental interactions, it is very common nowadays to study all phenomena and the underlying physics in an arbitrary number of dimensions. Historically, arbitrary dimensionality (including fractal dimension) has been widely considered in the context of Newtonian gravitational theory and general relativity, quantum field theory, cosmology, phase transitions, renormalization group, quantum mechanics, lattice models and random walks [10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Some years ago, Boisseau and van Leeuwen [24] presented a Boltzmannian D-dimensional kinetic treatment for a one-component relativistic gas of massive particles.…”

Section: Introductionmentioning

confidence: 99%

“…In the domain of cosmology, several compactification mechanisms for extra dimensions, presumably taking place in the very early universe, have also been suggested to explain the now-observed four-dimensional structure of spacetime [11][12][13][14][15][16][17]. Given the lack of knowledge about the initial state of the universe, the simplest dynamic approach to dimensional reduction is to construct a multidimensional anisotropic cosmological model based on some fundamental theory (superstrings, Kaluza-Klein or Einstein's gravitational theory) where the extra spatial dimensions are collapsing while the 'physical dimensions' are expanding, eventually leading to the present-day universe.…”

Section: Introductionmentioning

confidence: 99%

D -dimensional radiative plasma: a kinetic approach

Maia

Lima

1998

Class. Quantum Grav.

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The covariant kinetic approach for the radiative plasma, a mixture of a relativistic moving gas plus radiation quanta (photons, neutrinos, or gravitons) is generalized to D spatial dimensions. The operational and physical meaning of Eckart's temperature is reexamined and the D-dimensional expressions for the transport coefficients (heat conduction, bulk and shear viscosity) are explicitly evaluated to first order in the mean free time of the radiation quanta. Weinberg's conclusion that the mixture behaves like a relativistic imperfect simple fluid (in Eckart's formulation) depends neither on the number of spatial dimensions nor on the details of the collisional term. The case of Thomson scaterring is studied in detail, and some consequences for higher dimensional cosmologies are also discussed.PACS number(s): 95.30Jx, 95.30Tg, 98.80H a

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Physics in Higher Dimensions Volume 2

Cited by 9 publications

References 0 publications

Five Dimensional Cylindrically Symmetric Solutions and Energy Distribution in f(R) Gravity

Five Dimensional Cylindrically Symmetric Solutions and Energy Distribution in f(R) Gravity

Binary neutron star mergers in fully general relativistic simulations

D -dimensional radiative plasma: a kinetic approach

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