Stellar model in a fourth order theory of gravity

1998 ◽  
Vol 57 (2) ◽  
pp. 954-960 ◽  
Author(s):  
Daniel E. Barraco ◽  
Victor H. Hamity
Keyword(s):  
Fourth Order ◽  
Order Theory ◽  
Stellar Model ◽  
Theory Of Gravity

Canonical formulation of Pais–Uhlenbeck action and resolving the issue of branched Hamiltonian

2017 ◽  
Vol 14 (03) ◽  
pp. 1750038 ◽  
Author(s):  
Kaushik Sarkar ◽  
Nayem Sk ◽  
Ranajit Mandal ◽  
Abhik Kumar Sanyal
Keyword(s):  
Scalar Curvature ◽  
Canonical Transformation ◽  
Auxiliary Variable ◽  
Order Theory ◽  
Higher Order ◽  
End Points ◽  
Canonical Formulation ◽  
Higher Order Terms ◽  
Theory Of Gravity ◽  
Higher Order Theory

Canonical formulation of higher order theory of gravity requires to fix (in addition to the metric), the scalar curvature, which is acceleration in disguise, at the boundary. On the contrary, for the same purpose, Ostrogradski's or Dirac's technique of constrained analysis, and Horowit'z formalism, tacitly assume velocity (in addition to the co-ordinate) to be fixed at the end points. In the process when applied to gravity, Gibbons–Hawking–York term disappears. To remove such contradiction and to set different higher order theories on the same footing, we propose to fix acceleration at the endpoints/boundary. However, such proposition is not compatible to Ostrogradski's or Dirac's technique. Here, we have modified Horowitz's technique of using an auxiliary variable, to establish a one-to-one correspondence between different higher order theories. Although, the resulting Hamiltonian is related to the others under canonical transformation, we have proved that this is not true in general. We have also demonstrated how higher order terms can regulate the issue of branched Hamiltonian.

scholarly journals Validating variational principle for higher order theory of gravity

2015 ◽  
Vol 30 (24) ◽  
pp. 1550119 ◽  
Author(s):  
Soumendranath Ruz ◽  
Kaushik Sarkar ◽  
Nayem Sk ◽  
Abhik Kumar Sanyal
Keyword(s):  
Variational Principle ◽  
Order Theory ◽  
Higher Order ◽  
Ricci Scalar ◽  
Classical Solutions ◽  
De Sitter ◽  
Metric Tensor ◽  
Theory Of Gravity ◽  
Higher Order Theory ◽  
Metric Variation

Metric variation of higher order theory of gravity requires fixing of the Ricci scalar in addition to the metric tensor at the boundary. Fixing Ricci scalar at the boundary implies that the classical solutions are fixed once and forever to the de Sitter or anti-de Sitter (dS/AdS) solutions. Here, we justify such requirement from the standpoint of Noether symmetry.

Fourth-order theory for multiple-wave interaction

1995 ◽  
Vol 25 (1-2) ◽  
pp. 43-63 ◽  
Author(s):  
Takumi Ohyama ◽  
Dong-Sheng Jeng ◽  
John R.C. Hsu
Keyword(s):  
Fourth Order ◽  
Wave Interaction ◽  
Order Theory ◽  
Multiple Wave

scholarly journals SRT as a Fourth-order-theory with Analogy-model of Damped Resonance

2021 ◽  
Author(s):  
Holger Döring
Keyword(s):  
Fourth Order ◽  
Rest Mass ◽  
Order Theory ◽  
Space Time ◽  
Lorentz Transformations ◽  
Damped Oscillation

Abstract: Discussed is an expansion of SRT to fourth-order of space-time including any velocities and possible negative kinetic energies by real rest mass in analogy of the model amplitude of enforced damped oscillation. This paper serves an introduction to developed SRT including superluminar translating velocities without tachyons or imaginary restmass. Focused is on those parts, which develop the elaborated lorentz-transformations. Discussed are the problems of this theory.

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