(a) Derive the Bianchi identity (25 70) in 4 dimensional spacetime (b) By contracting the Bianchi identity (25 70) on , derive the contracted Bianchi identity (25 69) Equations V G 0, (25 69)

Question: (a) Derive the Bianchi identity (25.70) in 4-dimensional spacetime. (b) By contracting the Bianchi identity (25.70) on ,

(a) Derive the Bianchi identity (25.70) in 4-dimensional spacetime.
(b) By contracting the Bianchi identity (25.70) on ∈_α^β^μν∈_ν^γδ∈, derive the contracted Bianchi identity (25.69).

Equations.

V.G=0, (25.69)

Step by Step Solution

★★★★★

3.37 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The Bianchi identity and its contracted form you mentioned are related to the Riemann curvature tens... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Modern Classical Physics Questions!

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

A researcher wanted to find out if there was difference between older movie goers and younger movie goers with respect to their estimates of a successful actors income. The researcher first...

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-4. Ivan and Irene paid the following in 2012 (all by check or can otherwise be...

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

1.Important Identities in Macroeconomics I.(a) What idea lies behind the capital formation equation? Why the equation is called so? Explain the term. (b) Derive the equation from the identity between...

Important Identities in Macroeconomics (a) What idea lies behind the capital formation equation? Why the equation is called so? Explain the term. Derive the equation from the identity between...

2. Important Identities in Macroeconomics I. (a) What idea lies behind the capital formation equation? Why the equation is called so? Explain the term. (b) Derive the equation from the identity...

Establish the identity\ 1+z+z^(2)+cdots+z^(n)=(1-z^(n+1))/(1-z),(z ) != ( 1) \ and then use it to derive Lagrange's trigonometric identity:\ 1+cos\\\\theta +cos2\\\\theta +cdots+cosn\\\\theta...

all parts a) Derive the approximate identity e" 1+r, using an appropriate first order approxi- mation. State the empirical condition under which the approximation is reasonable. b) Derive the...

Identify the choice that best completes the statement or answers the question. With a(n) ____, users create a computerized database; add, change, and delete data in the database; sort and retrieve...

Your client has already accumulated $20,000 and plans to invest another $5000 at the beginning of each year for the next 15 years. He expects to earn a return of 7_1% 4 compounded annually on his...

When using the simplex method, the largest subscript rule is when a column s which is the largest column index with negative reduced costs is chosen. Then, the row r with the largest row index that...

2.7. Explain why systems developed as prototypes should not normally be used as production systems.

In an FDM communication system, the transmitted base band signal is x(t) = m 1 (t) cos(2f 1 t) + m 2 (t) cos(2f 2 t) This system has a second-order non-linearity between transmitter output and...

Repeat the preceding problem assuming that the commutator is run at twice the minimum rate. What are the advantages and disadvantages of doing this? Repeat the preceding problem Five messages band...

Five messages band limited to W, W, 2W, 4W, and 4W Hz, are to be time-division multiplexed. Devise a commutator configuration such that each signal is periodically sampled at its own minimum rate and...

The city of Ruth has been awarded a $1,000,000 federal expenditure-driven grant to improve bike trails. The federal government advanced the city $600,000 when the grant was awarded on January 10,...

Last week, OPEC+ announced a 2 million bpd cut to its production targets for November reads the headlines Consumers of oil in the United States are expecting a rise in energy prices as winter...

Shelton Gallery had the following petty cash transactions in February of the current year. Feb. 2 Wrote a $360 check, cashed it, and gave the proceeds and the petty cashbox to Bo Brown, the petty...