Stewart-Lyth inverse problem

Ayón–Beato, Eloy; Garcı́a, Alberto; Mansilla, Ricardo; Terrero-Escalante, César A.

doi:10.1103/physrevd.62.103513

Cited by 36 publications

(58 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, information on the functional forms of the observables n S and n T it is necessary in order to describe the dynamics of ǫ 1 . This is the basic philosophy behind the Stewart-Lyth inverse problem [11]. It follows from definitions (2), (3) and (4) that…”

Section: Key Equationsmentioning

confidence: 99%

“…where the expression for the potential as function of N is derived from the Einstein equations for the scalar field cosmology [1,11]. In this way, the inflaton potential can, in principle, be determined from just the information on the functional form of the tensor to scalar ratio or, equivalently, on the evolution of the difference between the tensor and scalar spectral indices.…”

Section: Key Equationsmentioning

confidence: 99%

“…(6), one still has to deal with three independent variables, namely, ǫ 1 , n S and n T (see Refs. [6,11] for more detailed discussion). There are not other independent equations relating these variables which could be used to close the system of equations (6) and (7).…”

Section: Key Equationsmentioning

confidence: 99%

See 2 more Smart Citations

Tensor to scalar ratio of perturbation amplitudes and inflaton dynamics

Terrero-Escalante

2003

Physics Letters B

View full text Add to dashboard Cite

Section: Key Equationsmentioning

confidence: 99%

Section: Key Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Tensor to scalar ratio of perturbation amplitudes and inflaton dynamics

Terrero-Escalante

2003

Physics Letters B

View full text Add to dashboard Cite

“…(ix) A related issue to Bonnor star solutions and quasi-black holes is the set of black holes devised by Bardeen [54], in which the interior to the horizon is nonsingular. These solutions are magnetically charged, instead of electrically charged, and have been further explored in [55].…”

Section: Further Connectionsmentioning

confidence: 99%

Bonnor stars indspacetime dimensions

Lemos¹,

Zanchin

2008

Phys. Rev. D

View full text Add to dashboard Cite

Bonnor stars are regular static compact configurations in equilibrium, composed of an extremal dust fluid, i.e., a charged dust fluid where the mass density is equal to the charge density in appropriate units and up to a sign, joined to a suitable exterior vacuum solution, both within Newtonian gravity and general relativity.In four dimensions, these configurations obey the Majumdar-Papapetrou system of equations, in one case, the system is a particular setup of Newtonian gravity coupled to Coulomb electricity and electrically charged matter or fluid, in the other case, the system is a particular setup of general relativity coupled to Maxwell electromagnetism and electrically charged matter or fluid, where the corresponding gravitational potential is a specially simple function of the electric potential field and the fluid, when there is one, is made of extremal dust. Since the Majumdar-Papapetrou system can be generalized to d spacetime dimensions, as has been previously done, and higher dimensional scenarios can be important in gravitational physics, it is natural to study this type of Bonnor solutions in higher dimensions, d ≥ 4. As a preparation, we analyze Newton-Coulomb theory with an electrically charged fluid in a Majumdar-Papapetrou context, in d = n + 1 spacetime dimensions, with n being the number of spatial dimensions. We show that within the Newtonian theory, in vacuum, the Majumdar-Papapetrou relation for the gravitational potential in terms of the electric potential, and its related Weyl relation, are equivalent, in contrast with general relativity where they are distinct. We study a class of spherically symmetric Bonnor stars within this theory. Under sufficient compactification they form point mass charged Newtonian singularities. We then study the analogue type systems in the Einstein-Maxwell theory with an electrically charged fluid. Drawing on our previous work on the d-dimensional Majumdar-Papapetrou system, we restate some properties of this system. We obtain spherically symmetric Bonnor star solutions in d = n + 1 spacetime dimensions. We show that these stars, under sufficient compactification, form d-dimensional quasi-black holes. We also show that in the appropriate low gravity limit theses solutions turn into the solutions of Newtonian gravity, i.e., they are quasi-Newtonian Bonnor stars. In this connection, we note that the star solutions in Majumdar-Papapetrou Newtonian gravity, when contrasted to those solutions in Majumdar-Papapetrou general relativity, display clearly the branching off of the high density objects that may arise in the strong field regime of each theory, mild singularities in one theory, quasi-black holes in the other. Another important feature worth of mention is that, whereas there are no solutions for Newtonian or relativistic stars supported by degenerate pressure in higher dimensions, higher dimensional Bonnor stars, supported by electric repulsion, do indeed have solutions within Newtonian gravity and general relativity. So the existence of stars in h...

show abstract

“…This is the most used method to prove no-hair theorems in different theories (see Ref. [12] for a more recent approach).…”

Section: Static Black Holes In Magmentioning

confidence: 99%

Static black holes of metric-affine gravity in the presence of matter

et al. 2001

Self Cite

View full text Add to dashboard Cite

We investigate spherically symmetric and static gravitational fields representing black hole configurations in the framework of metric-affine gauge theories of gravity (MAG) in the presence of different matter fields. It is shown that in the triplet ansatz sector of MAG, black hole configurations in the presence of non-Abelian matter fields allow the existence of black hole hair. We analyze several cases of matter fields characterized by the presence of hair and for all of them we show the validity of the no short hair conjecture. *

show abstract

Stewart-Lyth inverse problem

Cited by 36 publications

References 20 publications

Tensor to scalar ratio of perturbation amplitudes and inflaton dynamics

Tensor to scalar ratio of perturbation amplitudes and inflaton dynamics

Bonnor stars indspacetime dimensions

Static black holes of metric-affine gravity in the presence of matter

Contact Info

Product

Resources

About