Validating variational principle for higher order theory of gravity
نویسندگان
چکیده
منابع مشابه
Higher-Order Piezoelectric Plate Theory Derived from a Three-Dimensional Variational Principle
A three-dimensional mixed variational principle is used to derive a Kth-order two-dimensional linear theory for an anisotropic homogeneous piezoelectric (PZT) plate. Themechanical displacements, the electric potential, the inplane components of the stress tensor, and the in-plane components of the electric displacement are expressed as a nite series of orderK in the thickness coordinate by ta...
متن کاملHigher Order Variational Problems
Higher order variational problems appear often in the engineering literature and in connection with the so-called gradient theories of phase transitions within elasto-plastic regimes. The study of equilibria of micromagnetic materials asks for mastery of second order energies (see [51], [91]; see also [31], [38], [44], [45], [61], [77], [78], [79], [108]), and the Blake-Zisserman model for imag...
متن کاملPalatini Variational Principle for N - Dimensional Dilaton Gravity
We consider a Palatini variation on a general N -Dimensional second order, torsionfree dilaton gravity action and determine the resulting equations of motion. Consistency is checked by considering the restraint imposed due to invariance of the matter action under simple coordinate transformations, and the special case of N = 2 is examined. We also examine a sub-class of theories whereby a Palat...
متن کامل$(varphi_1, varphi_2)$-variational principle
In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm, such that $f + g $ attains its strong minimum on $X. $ This result extends some of the well-known varitional principles as that of Ekeland [On the variational principle, J. Ma...
متن کاملSymmetries of higher-order string gravity actions
In this paper we explicitly prove the invariance of the time-dependent string gravity Lagrangian with up to four derivatives under the global O(d, d) symmetry. CERN-TH/96-291 October 1996 Partially supported by a Polish KBN grant. Permanent address: Institute for Theoretical Physics, Hoża 69, 00-689 Warszawa, Poland. E-mail: [email protected]
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2015
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732315501199