I'm having only a single phase supply. How can I run my 3phase motor without using
A phase converter?

You can't.

As noted it is not possible. You could change out the motor with a new motor that is single phase

One of my colleague advise to connect a capacitor. Motor terminal R. S to be connected direct to the single phase line and motor terminal T will be connected in series with a capacitor connected to any one of the two hot line. The size of the capacitor will be twice the winding reactance of the motor to create a different phase angle displacement.
I have not tried, but does this work?

Thanks. Happy new year.

This might make the motor jump or spin for a second as it creates a pseudo 2 phase solution. However, it's more likely the cap will explode.

What your friend is suggesting is similar to how a "starting capacitor" works on a split phase motor. However, such caps can't sustain the prolonged current draw, and besides you need 3 phases for a 3 phase motor. Think of a motor as a rotating electromagnet. The rise and fall of each phase pushes and pulls the motor in a given direction. You need all three phases working in harmony to achieve your goal.

If you can't get you hands on an inverter, try looking for a motor controller that converts single phase power to a 3 phase output. It's basically the same thing.

This might make the motor jump or spin for a second as it creates a pseudo 2 phase solution. However, it's more likely the cap will explode.

What your friend is suggesting is similar to how a "starting capacitor" works on a split phase motor. However, such caps can't sustain the prolonged current draw, and besides you need 3 phases for a 3 phase motor. Think of a motor as a rotating electromagnet. The rise and fall of each phase pushes and pulls the motor in a given direction. You need all three phases working in harmony to achieve your goal.

If you can't get you hands on an inverter, try looking for a motor controller that converts single phase power to a 3 phase output. It's basically the same thing.

The motor controller is the way to go.
I would also go to a motor repair facility and see if you could trade
Your single phase for a 3-phase...