Asymptotic latent solitons, black strings, and black branes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity

Eingorn, Maxim; Zhuk, Alexander

doi:10.1103/physrevd.85.064030

Cited by 10 publications

(17 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Unfortunately, such modification of gravity does not save the situation. Here, to demonstrate the agreement with the observations at the same level of accuracy as General Relativity, the gravitating massive source should also have tension in the internal spaces [20].…”

Section: Conclusion and Discussionsupporting

confidence: 68%

See 1 more Smart Citation

Weak-field limit of Kaluza-Klein models with spherical compactification: Experimental constraints

2012

Self Cite

View full text Add to dashboard Cite

We investigate the classical gravitational tests for the six-dimensional Kaluza-Klein model with spherical (of a radius a) compactification of the internal space. The model contains also a bare multidimensional cosmological constant Λ6. The matter, which corresponds to this ansatz, can be simulated by a perfect fluid with the vacuum equation of state in the external space and an arbitrary equation of state with the parameter ω1 in the internal space. For example, ω1 = 1 and ω1 = 2 correspond to the monopole two-forms and the Casimir effect, respectively. In the particular case Λ6 = 0, the parameter ω1 is also absent: ω1 = 0. In the weak-field approximation, we perturb the background ansatz by a point-like mass. We demonstrate that in the case ω1 > 0 the perturbed metric coefficients have the Yukawa type corrections with respect to the usual Newtonian gravitational potential. The inverse square law experiments restrict the parameters of the model: a/ √ ω1 6 × 10 −3 cm. Therefore, in the Solar system the parameterized post-Newtonian parameter γ is equal to 1 with very high accuracy. Thus, our model satisfies the gravitational experiments (the deflection of light and the time delay of radar echoes) at the same level of accuracy as General Relativity. We demonstrate also that our background matter provides the stable compactification of the internal space in the case ω1 > 0. However, if ω1 = 0, then the parameterized post-Newtonian parameter γ = 1/3, which strongly contradicts the observations.

show abstract

Section: Conclusion and Discussionsupporting

confidence: 68%

“…where we have used the condition (C 5). It can be easily seen that the minimum takes place for ω 1 > 0 which exactly coincides with the condition (20). Therefore, the case of dust ω 1 = 0 (the [17] case) does not fit this condition because the effective potential is flat.…”

Section: Smeared Extra Dimensionsmentioning

confidence: 87%

Weak-field limit of Kaluza-Klein models with spherical compactification: Experimental constraints

2012

Self Cite

View full text Add to dashboard Cite

show abstract

“…The uniform black strings and black branes are particular examples of the latent solitons. The similar situation takes place for nonlinear (with respect to the scalar curvature) KK theories with toroidal compactification [4,5]. Here, a pointlike mass with the dustlike equation of state in all spatial dimensions contradicts the observations [4], but there are two classes of asymptotic latent solitons, which are in agreement with the observations at the same level of accuracy as general relativity [5].…”

Section: Introductionsupporting

confidence: 75%

Remarks on gravitational interaction in Kaluza–Klein models

Eingorn¹,

Zhuk²

2012

Physics Letters B

Self Cite

View full text Add to dashboard Cite

In these remarks, we clarify the problematic aspects of gravitational interaction in a weak-field limit of Kaluza-Klein models. We explain why some models meet the classical gravitational tests, while others do not. We show that variation of the total volume of the internal spaces generates the fifth force. This is the main reason of the problem. It happens for all considered models (linear with respect to the scalar curvature and nonlinear f (R), with toroidal and spherical compactifications). We explicitly single out the contribution of the fifth force to nonrelativistic gravitational potentials. In the case of models with toroidal compactification, we demonstrate how tension (with and without effects of nonlinearity) of the gravitating source can fix the total volume of the internal space, resulting in the vanishing fifth force and consequently in agreement with the observations. It takes place for latent solitons, black strings and black branes. We also demonstrate a particular example where non-vanishing variations of the internal space volume do not contradict the gravitational experiments. In the case of spherical compactification, the fifth force is replaced by the Yukawa interaction for models with the stabilized internal space. For large Yukawa masses, the effect of this interaction is negligibly small, and considered models satisfy the gravitational tests at the same level of accuracy as general relativity.

show abstract

“…The above mentioned approach with respect to the multidimensional nonlinear f (R) models was applied in [23,24], where the extra dimensions were toroidally compactified and hence, the internal space was not curved. One of the main features of this model, brought about by nonlinearity, is that the metric coefficients receive correction terms in the form of the Yukawa potential.…”

Section: Introductionmentioning

confidence: 99%

Effects of nonlinearity of f(R) gravity and perfect fluid in Kaluza–Klein models with spherical compactification

2020

Self Cite

View full text Add to dashboard Cite

We study the effects associated with nonlinearity of f(R) gravity and of the background perfect fluid manifested in the Kaluza–Klein model with spherical compactification. The background space-time is perturbed by a massive gravitating source which is pressureless in the external space but has an arbitrary equation of state (EoS) parameter in the internal space. As characteristics of a nonlinear perfect fluid, the squared speeds of sound are not equal to the background EoS parameters in the external and internal spaces. In this setting, we find exact solutions to the linearized Einstein equations for the perturbed metric coefficients. For nonlinear models with $$f^{\prime \prime }(R_0)\ne 0$$f″(R0)≠0, we show that these coefficients acquire correction terms in the form of two summed Yukawa potentials and that in the degenerated case, the solutions are reduced to a single Yukawa potential with some “corrupted” prefactor (in front of the exponential function), which, in addition to the standard 1/r term, contains a contribution independent of the three-dimensional distance r. In the linear $$f''(R)=0$$f′′(R)=0 model, we generalize the previous studies to the case of an arbitrary nonlinear perfect fluid. We also investigate the particular case of the nonlinear background perfect fluid with zero speed of sound in the external space and demonstrate that a non-trivial solution exists only in the case of $$f''(R_0)=0$$f′′(R0)=0.

show abstract

Asymptotic latent solitons, black strings, and black branes inf(R)gravity

Cited by 10 publications

References 13 publications

Weak-field limit of Kaluza-Klein models with spherical compactification: Experimental constraints

Weak-field limit of Kaluza-Klein models with spherical compactification: Experimental constraints

Remarks on gravitational interaction in Kaluza–Klein models

Effects of nonlinearity of f(R) gravity and perfect fluid in Kaluza–Klein models with spherical compactification

Contact Info

Product

Resources

About