Mass - Energy - Momentum in General Relativity . Only there because of Spacetime ?

نویسنده

  • Dennis Lehmkuhl
چکیده

I describe how relativistic field theory generalises the defining property of material systems to possess mass to the requirement of them having a mass-energy-momentum density tensor Tμν (energy tensor for short) associated with them. I argue that according to general relativity Tμν is not an intrinsic property of matter, looking at how the energy tensor for a relativistic material system can be derived in a Lagrangian framework. It will become evident that the matter fields Φ alone are not sufficient for such a derivation. The metric field gμν plays a prominent role in obtaining the energy tensor of a material system, and occurs explicitly in a generic Tμν . Accordingly, since gμν represents the geometry of spacetime itself, the properties of mass, stress, energy and momentum should not be seen as intrinsic properties of matter, but as relational properties that material systems have only in virtue of their relation to spacetime structure.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Version of General Relativity that Unifies Mass and Gravity in a Common 4D Higgs Compatible Theory

Recent enigmas of astrophysics such as dark energy or accelerating universe need to update General Relativity. A thorough examination of the original Einstein Field Equations (EFE) highlights three inconsistencies concerning the nature of spacetime. Here we solve these inconsistencies. As a consequence, this article proposes a Higgs compatible 4D expression of mass, m= f(x,y,z,t), and a new exp...

متن کامل

Introduction to Tensor Calculus for General Relativity

There are three essential ideas underlying general relativity (GR). The first is that spacetime may be described as a curved, four-dimensional mathematical structure called a pseudo-Riemannian manifold. In brief, time and space together comprise a curved fourdimensional non-Euclidean geometry. Consequently, the practitioner of GR must be familiar with the fundamental geometrical properties of c...

متن کامل

On the Validity of the Definition of Angular Momentum in General Relativity

We exam the validity of the definition of the ADM angular momentum without the parity assumption. Explicit examples of asymptotically flat hypersurfaces in the Minkowski spacetime with zero ADM energy-momentum vector and finite non-zero angular momentum vector are presented. We also discuss the Beig-Ó Murchadha-Regge-Teitelboim center of mass and study analogous examples in the Schwarzschild sp...

متن کامل

Covariant energy-momentum and an uncertainty principle for general relativity

We recognize the natural covariant extension for energy-momentum in general relativity: energy-momentum in spacetime as opposed to space. The key indicator is the Tolman energy integral for stationary systems. The demand that the general expression for arbitrary dynamic systems reduce to the Tolman integral in the case of stationary bounded distributions leads to the matter-localized Ricci inte...

متن کامل

Conserved Quantities in General Relativity: from the Quasi-local Level to Spatial Infinity

We define quasi-local conserved quantities in general relativity by using the optimal isometric embedding in [28] to transplant Killing fields in the Minkowski spacetime back to the 2-surface of interest in a physical spacetime. To each optimal isometric embedding, a dual element of the Lie algebra of the Lorentz group is assigned. Quasi-local angular momentum and quasi-local center of mass cor...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008